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Chapters
1: Rational and Irrational Numbers
UNIT-II: COMMERCIAL MATHEMATICS
2: Compound Interest
UNIT-III: ALGEBRA
3: Expansions
▶ 4: Factorisation
5: Simultaneous Linear Equations
6: Indices
7: Logarithms
UNIT-IV: GEOMETRY
8: Triangles
9: Inequalities
10: Mid-point Theorem
11: Pythagoras Theorem
12: Rectilinear Figures (Theorems on Parallelograms and Construction of Polygons)
13: Theorems on Area
14: Circles (Chord and Arc Properties)
UNIT-V: STATISTICS
15: Statistics
16: Graphical Representation of Statistical Data
UNIT-VI: MENSURATION
17: Mensuration
18: Surface Area and Volume of Solids
UNIT-VII: TRIGONOMETRY
19: Trigonometry
20: Simple 2-D Problems in Right Triangle
UNIT-VIII: COORDINATE GEOMETRY
21: Coordinate Geometry
![B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई chapter 4 - Factorisation - Shaalaa.com](/images/mathematics-english-class-9-icse_6:a927b361d63845f4b2afea4ec6bbe35a.jpg "B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई chapter 4 - Factorisation")
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Solutions for Chapter 4: Factorisation
Below listed, you can find solutions for Chapter 4 of CISCE B Nirmala Shastry for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई.
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई 4 Factorisation EXERCISE 4A [Page 42]
Factorise the following:
12a2b – 16ab2 – 28a2b2
Factorise the following:
7a2x – 7x + a2p – p
Factorise the following:
c2d – c2 – 4d + 4
Factorise the following:
a2x – a2y – 9x + 9y
Factorise the following:
2a3 – a2 – 8a + 4
Factorise the following:
5a – b + x(b – 5a)
Factorise the following:
(2c – d) – a(d – 2c)
Factorise the following:
b(x – y) – 3(y – x) + a(y – x)
Factorise the following:
3a2 – 6a – ka + 2k + am – 2m
Factorise:
a2 – ab(1 – b) – b3
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई 4 Factorisation EXERCISE 4B [Page 43]
Factorise the following:
49x2 – 64y2
Factorise the following:
121x2 – 169y2
Factorise the following:
72x2 – 50y2
Factorise the following:
80y3 – 5y
Factorise the following:
75a2b2 – 108c2
Factorise the following:
18ab3 – 8a3b
Factorise the following:
(x + 3)(x – 3) – 40
Factorise the following:
(x + 2) (x – 2) – 60
Factorise the following:
`(x + 1)(x - 1) - 5/4`
Factorise the following:
16a4 – 81b4
Factorise the following:
625a4 – 256b4
Factorise the following:
`x^4 - 1/x^4`
Factorise the following:
`x^8 - 1/x^8`
Factorise the following:
256x8 – y8
Factorise the following:
`a^4 - 1/81`
Factorise the following:
(a + 8)2 – (b + 5)2
Factorise the following:
36(a + 3)2 – 25(a – 2)2
Factorise the following:
49(2x + y)2 – 64(x – 2y)2
Factorise the following:
9x2 – 4(y + 2x)2
Factorise the following:
36 – (a + 2b)2
Factorise the following:
`(x - y/3)^2 - (49y^2)/9`
Factorise the following:
4c2 – a2 – 2ab – b2
Factorise the following:
9a2 – b2 + 2bc – c2
Factorise the following:
a2 – 9b2 + 6b – 1
Factorise the following:
25 – a2 + 2ab – b2
Factorise the following:
49x2 – 25y2 + 10y – 1
Factorise the following:
16a2 – 9b2 + 30bc – 25c2
Factorise the following:
a2 + b2 – c2 – d2 + 2ab – 2cd
Factorise the following:
1 + x2y2 + 4xy – x2 – y2
Factorise the following:
a2 – 16 + ab + 4b
Factorise the following:
a2 – 25 – ab + 5b
Factorise the following:
x2 – 4 – 3xy + 6y
Factorise the following:
x2 – 36 – 7xy + 42y
Factorise the following:
x3 – 3x2 – x + 3
Factorise the following:
x3 – 5x2 – 4x + 20
Factorise the following:
(x2 – 4)2 – 9x2
Factorise the following:
(x2 + y2 – z2)2 – 4x2y2
Factorise the following:
(a2 + 4b2 – c2)2 – 16a2b2
Find the value using algebraic formula.
124 × 126
Find the value using algebraic formula.
8.952 – 1.052
Find the value using algebraic formula.
99982 – 9999 × 9997
Find the value using algebraic formula.
`(99813 xx 99815 + 1)/(99814)^2`
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई 4 Factorisation EXERCISE 4C [Pages 44 - 45]
Factorise the following:
a2 – 3a – 54
Factorise the following:
a2 – 25a + 84
Factorise the following:
1 – 18a – 63a2
Factorise the following:
x2 – 10x – 24
Factorise the following:
x2 – x – 6
Factorise the following:
x2 – 5x + 6
Factorise the following:
3x2 – 2x – 16
Factorise the following:
5x2 – 13x – 6
Factorise the following:
10x2 + 7x – 12
Factorise the following:
3x2 – 5x – 12
Factorise the following:
5x2 – 17x – 12
Factorise the following:
2x2 – 7x – 39
Factorise the following:
6x2 – x – 12
Factorise the following:
2x2 – 3x – 65
Factorise the following:
4x2 – 8x – 21
Factorise the following:
5a2 – 10a – 15
Factorise the following:
4a2 – 12a – 216
Factorise the following:
3x2 – 15x – 18
Factorise by substituting terms:
12(a + b)2 – 5(a + b) – 3
Factorise by substituting terms:
3(x – y)2 – 4x + 4y – 4
Factorise by substituting terms:
(2x – y)2 – 14x + 7y – 18
Factorise by substituting terms:
6(x + 2)2 – 5(x + 2) – 4
Factorise by substituting terms:
5(x + y)2 – 6x – 6y – 8
Factorise by substituting terms:
(a2 – 2a)2 – 18(a2 – 2a) + 45
Write the following as a product of factor:
x(3x – 11) + 6
Write the following as a product of factor:
x(2x + 1) – 6
Write the following as a product of factor:
x(2x + 5) – 25
Write the following as a product of factor:
x(2x + 5) – 3
Factorise by splitting the middle term to get two perfect squares.
x4 + 3x2 + 4
Factorise by splitting the middle term to get two perfect squares.
x4 + 5x2 + 9
Factorise by splitting the middle term to get two perfect squares.
x4 – 5x2 + 4
Factorise by splitting the middle term to get two perfect squares.
x4 – 10x2 + 9
Factorise by splitting the middle term to get two perfect squares.
a4 – 7a2b2 + b4
Factorise by splitting the middle term to get two perfect squares.
a4 + 2a2b2 + 9b4
Factorise by splitting the middle term to get two perfect squares.
a4 + a2b2 + 25b4
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई 4 Factorisation EXERCISE 4D [Page 46]
Factorise:
8x3 + 343y3
Factorise:
64a3 + 125b3
Factorise:
`216a^3 + b^3/343`
Factorise:
`a^3 + 1/(27a^3)`
Factorise:
a3 – 8b3
Factorise:
125a3 – 27b3
Factorise:
343a3 – 216b3
Factorise:
`x^3 - y^3/1331`
Factorise:
x5 + 1728x2
Factorise:
8a4 + 27a
Factorise:
x2 – 8x5
Factorise:
a6 – b6
Factorise:
a6 – 64b6
Factorise:
64a6 – 729b6
Factorise:
15625a6 – 64b6
Factorise:
3a7 – 192ab6
Evaluate using algebraic formula:
`((0.68)^3 - (0.13)^3)/((0.68)^2 + (0.68 xx 0.13) + (0.13)^2`
Evaluate using algebraic formula:
`((0.78)^3 + (0.22)^3)/((0.78)^2 - (0.78 xx 0.22) + (0.22)^2)`
Factorise:
x4 + x3 + 27x + 27
Factorise:
x4 – x3 – 8x + 8
Factorise:
8x3 + 27y3 + 10x + 15y
Factorise:
x3 + 125y3 + 2x + 10y
Factorise:
x3 – 216y3 – 3x + 18y
Factorise:
x3 – 8y3 – 6x + 12y
Factorise:
x6 – 7x3 – 8
Factorise:
x6 + 26x3 – 27
Factorise:
x6 – 124x3 – 125
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई 4 Factorisation MULTIPLE CHOICE QUESTIONS [Pages 46 - 47]
9x2 – 36y2 is equal to ______.
(3x + 6y) (3x – 6y)
(3x – 6y)2
9(x + 2y) (x – 2y)
9(x – 6y)2
x(x – y) + 5(y – x) is equal to ______.
(x – y) (x + 5)
(x – y) (5 – x)
(x – y) (x – 5)
(x + y) (x – 5)
10xy – 4y – 6 + 15x is equal to ______.
(2y – 3) (5x + 2)
(5x – 2) (2y + 3)
(2 – 5x) (2y + 3)
(2x – 5) (3y – 2)
28x2 – 7y2 is equal to ______.
7(x + 4y) (x – 4y)
7(4x + y) (4x – y)
7(2x + y) (2x – y)
7(x + y) (x – y)
x4 – 16y4 is equal to ______.
(x2 – 4y2)2
(x2 + 4y2) (x2 – 4y2)
(x + 2y)2 (x – 2y)2
(x2 + 4y2) (x + 2y) (x – 2y)
x2 – 15x – 54 is equal to ______.
(x – 9) (x – 6)
(x – 9) (x + 6)
(x – 18) (x + 3)
(x + 18) (x – 3)
x2 – 5x + 6 is equal to ______.
(x + 2) (x + 3)
(x – 6) (x + 1)
(x – 1) (x + 6)
(x – 2) (x – 3)
9x2 + 6x + 1 is equal to ______.
(3x + 1) (3x – 1)
(x + 3) (9x + 1)
(9x + 3) (x + 1)
(3x + 1) (3x + 1)
x2 – 10x + 24 is equal to ______.
(x – 6) (x – 4)
(x – 12) (x + 2)
(x + 6) (x – 4)
(x + 12) (x – 2)
2x2 – x – 15 is equal to ______.
(2x – 3) (x + 5)
(2x + 3) (x – 5)
(x – 3) (2x + 5)
(x + 3) (2x – 5)
x2 – 8x + 12 is equal to ______.
(x – 4) (x – 3)
(x – 6) (x + 2)
(x + 4) (x + 3)
(x – 6) (x – 2)
3x2 + 2x – 8 is equal to ______.
(3x + 4) (x – 2)
(3x – 4) (x + 2)
(3x – 8) (x + 1)
(3x + 8) (x – 1)
`8x^3 - 27/y^3` is equal to ______.
`(2x - 3/y)(4x^2 + 6xy + 9/y^2)`
`(2x + 3/y)(4x^2 - (6x)/y + 9/y^2)`
`(2x - 3/y)(4x^2 + (6x)/y - 9/y^2)`
`(2x - 3/y)(4x^2 + (6x)/y - 9/y^2)`
x – 8x4 is equal to ______.
(x – 2x2) (x + 4x2)
(x + 2x2) (1 – 4x2)
x(1 – 2x) (1 + 2x + 4x2)
x(1 + 2x) (1 – 2x + 4x2)
`(77 xx 77 xx 77 + 23 xx 23 xx 23)/(77 xx 77 - 77 xx 23 + 23 xx 23)` is equal to ______.
90
100
110
120
`(74 xx 74 - 16 xx 16)/(74 + 16)` is equal to ______.
90
100
58
68
`(203^2 - 197^2)/400` is equal to ______.
3
4
5
6
x3 + 27y3 is equal to ______.
(x + 3y)3
(x + 3y) (x2 – 6xy + 9y2)
(x + 3y) (x2 – 3xy + 9y2)
(x + 3y) (x2 + 3xy + 9y2)
Assertion: x3 + 8y3 = (x + 2y) (x2 – 2xy + 4y2).
Reason: a3 – b3 = (a – b) (a2 + ab + b2).
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion: y2 + y – 6 = (y + 3) (y – 2)
Reason: 3y – 2y = y and 3y × (–2y) = –6y2
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion: x3 – 5x2 – x + 5 = (x – 5) (x + 1) (x – 1).
Reason: a2 – b2 = (a + b) (a – b).
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion: 732 – 722 = 145.
Reason: 732 – 722 = (73 + 72) (73 – 72) = 145 × 1.
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion: The factors of x2 – 10x – 24 = (x – 4) (x – 6).
Reason: A trinomial of the form ax2 + bx + c can be factorised if b2 – 4ac is a perfect square.
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion: x – 64x4 = x(1 + 8x2) (1 – 8x2)
Reason: a2 – b2 = (a + b) (a – b)
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई 4 Factorisation MISCELLANEOUS EXERCISE [Page 48]
Factorise:
25(a + b)2 – 36(a – b)2
Factorise:
(y2 + 3)2 – 16y2
Factorise:
5x4 – 80y4
Factorise:
27a2b – 75b3
Factorise the following:
5x2 – 5x – 30
Factorise the following:
x2 – 15xy – 54y2
Factorise the following:
6x2 – 15x – 9
Factorise the following:
3(x – 2y)2 + 4(x – 2y) – 15
Factorise the following:
a4 + 4b4 – 5a2b2
Factorise the following:
x4 – 13x2 + 36
Factorise:
`8x^3 − y^3/343`
Factorise:
`a^3/27 + 8/b^3`
Factorise:
a6 – 15625b6
Factorise:
729a6 – b6
Factorise:
a2 – 4b2 + a3 – 8b3 – (a – 2b)2
Factorise:
a3 – 216b3 – 7a + 42b
Find the value of (using algebraic formula):
`((743)^3 − (543)^3)/((743)^2 + (743)(543) + (543)^2)`
The area of a rectangle is (14x2 – 29xy – 15y2) sq units. Find its sides and the perimeter of the rectangle.
Factorise:
9b2 – 4a2 + 20a – 25
Factorise:
4 – x2 + 10xy – 25y2
Factorise:
36a2 – b2 + 20bc – 100c2
Factorise:
49a2 – 25b2 + 60bc – 36c2
Factorise:
x3 – 5x2 – 9x + 45
Factorise:
x3 – 3x2 – 4x + 12
Factorise:
7xy2 – 7x + 2y2 – 2
Factorise the following:
c2d – c2 – 4d + 4
Show that 101 is a factor of 873 + 143.
Solutions for 4: Factorisation
B Nirmala Shastry solutions for मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई chapter 4 - Factorisation
Shaalaa.com has the CISCE Mathematics मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. B Nirmala Shastry solutions for Mathematics मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई CISCE 4 (Factorisation) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई chapter 4 Factorisation are Factorisation by Taking Out Common Factors, Factorisation by Grouping, Method of Factorisation : Difference of Two Squares, Method of Factorisation : the Sum Or Difference of Two Cubes, Factorisation by Taking Out Common Factors, Factorisation of a Quadratic Trinomial by Splitting the Middle Term, Factorisation by Taking Out Common Factors.
Using B Nirmala Shastry मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई solutions Factorisation exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in B Nirmala Shastry Solutions are essential questions that can be asked in the final exam. Maximum CISCE मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई students prefer B Nirmala Shastry Textbook Solutions to score more in exams.
Get the free view of Chapter 4, Factorisation मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई additional questions for Mathematics मॅथेमॅटिक्स [इंग्रजी] इयत्ता ९ आयसीएसई CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
