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Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation [Latest edition]

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Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation - Shaalaa.com
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Solutions for Chapter 5: Factorisation

Below listed, you can find solutions for Chapter 5 of CISCE Selina for Concise Mathematics [English] Class 9 ICSE.


Exercise 5 (A)Exercise 5 (B)Exercise 5 (C)Exercise 5 (D)Exercise 5 (E)
Exercise 5 (A) [Pages 68 - 69]

Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (A) [Pages 68 - 69]

1Page 68

Factorise by taking out the common factors : 
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)

2Page 68

Factories by taking out common factors :
xy(3x- 2y2) - yz(2y- 3x2) + zx(15x- 10y2)

3Page 68

Factories by taking out common factors :
ab(a+ b- c2) - bc(c- a- b2) + ca(a+ b- c2)

4Page 68

Factories by taking out common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)

5Page 69

Factorise by the grouping method : a3 + a - 3a2 - 3

6Page 69

Factorise by the grouping method: 16 (a + b)2 - 4a - 4b

7Page 69

Factorise by the grouping method : a4 - 2a3 - 4a + 8

8Page 69

Factorise by the grouping method : ab - 2b + a2 - 2a

9Page 69

Factorise by the grouping method:

ab (x2 + 1) + x (a2 + b2)

10Page 69

Factorise by the grouping method : a2 + b - ab - a

11Page 66

Factorise by the grouping method : (ax + by)2 + (bx - ay)2

12Page 69

Factorise by the grouping method : a2x2 + (ax2 + 1) x + a

13Page 69

Factorise by the grouping method : (2a-b)2 -10a + 5b

14Page 69

Factorise by the grouping method : a (a -4) - a + 4

15Page 69

Factorise by the grouping method : y2 - (a + b) y + ab

16Page 69

Factorise by the grouping method : 
`a^2 + 1/a^2 - 2 - 3a + 3/a`

17Page 69

Factorize using the grouping method:

x2 + y2 + x + y + 2xy

18Page 69

Factorise using the grouping method :
a2 + 4b2 - 3a + 6b - 4ab

19Page 69

Factorise using the grouping method :
m (x - 3y)2 + n (3y - x) + 5x - 15y

20Page 69

Factorise using the grouping method :
x (6x - 5y) - 4 (6x - 5y)2

Exercise 5 (B) [Page 71]

Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (B) [Page 71]

1Page 71

Factorise : a2 + 10a + 24

2Page 71

Factorise : a2 - 3a - 40

3Page 71

Factorise : 1 - 2a - 3a2

4Page 71

Factorise : x2 - 3ax - 88a2

5Page 71

Factorise:

6a2 - a - 15

6Page 71

Factorise : 24a3 + 37a2 - 5a

7Page 71

Factorise:

a(3a - 2) - 1

8Page 71

Factorise : a2b2 + 8ab - 9

9Page 71

Factorise : 3 - a (4 + 7a)

10Page 71

Factorise:

(2a + b)2 - 6a - 3b - 4

11Page 71

Factorise : 1 - 2a - 2b - 3 (a + b)2

12Page 71

Factorise : 3a2 - 1 - 2a

13Page 71

Factorise : x2 + 3x + 2 + ax + 2a

14Page 71

Factorise : (3x - 2y)2 + 3 (3x - 2y) - 10

15Page 71

Factorise: 5 - (3a2 - 2a) (6 - 3a2 + 2a)

16Page 71

Factorise : `1/35 + 12/35a + a^2`

17Page 71

Factories: (x- 3x)(x- 3x - 1) - 20.

18.1Page 71

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
x2 - 3x - 54

18.2Page 71

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
2x2 - 7x - 15

18.3Page 71

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
2x2 + 2x - 75

18.4Page 71

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
3x2 + 4x - 10

18.5Page 71

Find trinomial (quadratic expression), given below, find whether it is factorisable or not. Factorise, if possible.
x(2x - 1) - 1 

19.1Page 71

Factorise : 4√3x2 + 5x - 2√3

19.2Page 71

Factorise : 7√2x2 - 10x - 4√2

20Page 71

Give possible expressions for the length and the breadth of the rectangle whose area is 12x- 35x + 25

Exercise 5 (C) [Pages 72 - 73]

Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (C) [Pages 72 - 73]

1Page 72

Factorise : 25a2 - 9b2

2Page 72

Factorise : a2 - (2a + 3b)2

3Page 72

Factorise : a2 - 81 (b-c)2

4Page 72

Factorise : 25(2a - b)2 - 81b2

5Page 72

Factorise : 50a3 - 2a

6Page 72

Factorise : 4a2b - 9b3

7Page 72

Factorise : 3a5 - 108a3

8Page 72

Factorise : 9(a - 2)2 - 16(a + 2)2

9Page 72

Factorise : a4 - 1

10Page 72

Factorise : a3 + 2a2 - a - 2

11Page 72

Factorise : (a + b)3 - a - b

12Page 72

Factorise : a (a - 1) - b (b - 1)

13Page 72

Factorise: 4a2 - (4b2 + 4bc + c2)

14Page 72

Factorise : 4a2 - 49b2 + 2a - 7b

15Page 72

Factorise : 9a2 + 3a - 8b - 64b2

16Page 72

Factorise : 4a2 - 12a + 9 - 49b2

17Page 72

Factorise : 4xy - x2 - 4y2 + z2

18Page 72

Factorise : a2 + b2 - c2 - d2 + 2ab - 2cd

19Page 72

Factorise : 4x2 - 12ax - y2 - z2 - 2yz + 9a2

20Page 73

Factorise:

(a2 − 1) (b2 − 1) + 4ab

21Page 73

Factorise : x4 + x2 + 1

22Page 73

Factorise : (a2 + b2 - 4c2)2 - 4a2b2

23Page 73

Factorise : (x2 + 4y2 - 9z2)2 - 16x2y2

24Page 73

Factorise : (a + b) 2 - a2 + b2

25Page 73

Factorise : a2 - b2 - (a + b) 2

26Page 73

Factorize : 9a2 - (a2 - 4) 2

27Page 73

Factorise : `x^2 + 1/x^2 - 11`

28Page 73

Factorise : `4x^2 + 1/(4x)^2 + 1`

29Page 73

Factorise : 4x4 - x2 - 12x - 36

30Page 73

Factorise : a2 ( b + c) - (b + c)3

Exercise 5 (D) [Page 74]

Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (D) [Page 74]

1Page 74

Factorise:

a3 - 27

2Page 74

Factorise : 1 - 8a3

3Page 74

Factorise : 64 - a3b3

4Page 74

Factorise : a6 + 27b3

5Page 74

Factorise : 3x7y - 81x4y4

6Page 74

Factorise : a3 - `27/a^3`

7Page 74

Factorise : a3 + 0.064

8Page 74

Factorise:

a4 - 343a

9Page 74

Factorise: (x - y)3 - 8x3

10Page 74

Factorise:

`(8"a"^3)/27 - "b"^3/8`

11Page 74

Factorise:

a6 – b6

12Page 74

Factorise : a6 - 7a3 - 8

13Page 74

Factorise:

a3 - 27b3 + 2a2b - 6ab2

14Page 74

Factorise : 8a3 - b3 - 4ax + 2bx

15Page 74

Factorise : a - b - a3 + b3

16Page 74

Factorise :  2x3 + 54y3 - 4x - 12y

17Page 74

Factorise : 1029 - 3x3

18.1Page 74

Show that : 133 - 53 is divisible by 8

18.2Page 74

Show that : 353 + 273 is divisible by 62

19Page 74

Evaluate : 
`[ 5.67 xx 5.67 xx 5.67 + 4.33 xx 4.33 xx 4.33 ]/[5.67 xx 5.67 - 5.67 xx 4.33 + 4.33 xx 4.33]`

Exercise 5 (E) [Page 76]

Selina solutions for Concise Mathematics [English] Class 9 ICSE 5 Factorisation Exercise 5 (E) [Page 76]

1Page 76

Factorise:

`x^2 + 1/(4x^2) + 1 - 7x - 7/(2x)`

2Page 76

Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`

3Page 76

Factorise : `x^2 + [a^2 + 1]/a x + 1`

4Page 76

Factorise:

`x^4 + y^4 - 27x^2y^2`

5Page 76

Factorise : 4x4 + 9y4 + 11x2y2

6Page 76

Factorise : `x^2 + 1/x^2 - 3`

7Page 76

Factorise : a - b - 4a2 + 4b2

8Page 76

Factorise:

(2a - 3)2 - 2 (2a - 3) (a - 1) + (a - 1)2

9Page 76

Factorise : (a2 - 3a) (a2 - 3a + 7) + 10

10Page 76

Factorise : (a2 - a) (4a2 - 4a - 5) - 6

11Page 76

Factorise: x4 + y4 - 3x2y2

12Page 76

Factorise:

5a2 - b2 - 4ab + 7a - 7b

13Page 76

Factorise : 12(3x - 2y)2 - 3x + 2y - 1

14Page 76

Factorise : 4(2x - 3y)2 - 8x+12y - 3

15Page 76

Factorise : 3 - 5x + 5y - 12(x - y)2

16Page 76

Factorise : 9x 2 + 3x - 8y - 64y2

17Page 76

Factorise : 2√3x2 + x - 5√3

18Page 76

Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2` 

19Page 76

Factorise : 2(ab + cd) - a2 - b2 + c2 + d2

20.1Page 76

Find the value of : ( 987 )2 - (13)2

20.2Page 76

Find the value of : ( 67.8 )2 - ( 32.2 )2

20.3Page 76

Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`

20.4Page 76

Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`

Solutions for 5: Factorisation

Exercise 5 (A)Exercise 5 (B)Exercise 5 (C)Exercise 5 (D)Exercise 5 (E)
Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation - Shaalaa.com

Selina solutions for Concise Mathematics [English] Class 9 ICSE chapter 5 - Factorisation

Shaalaa.com has the CISCE Mathematics Concise Mathematics [English] Class 9 ICSE 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. Selina solutions for Mathematics Concise Mathematics [English] Class 9 ICSE CISCE 5 (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.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Concise Mathematics [English] Class 9 ICSE chapter 5 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 Selina Concise Mathematics [English] Class 9 ICSE 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 Selina Solutions are essential questions that can be asked in the final exam. Maximum CISCE Concise Mathematics [English] Class 9 ICSE students prefer Selina Textbook Solutions to score more in exams.

Get the free view of Chapter 5, Factorisation Concise Mathematics [English] Class 9 ICSE additional questions for Mathematics Concise Mathematics [English] Class 9 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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