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Chapters
2: Linear Equations in One Variable
3: Understanding Quadrilaterals
4: Data Handling
5: Squares and Square Roots
6: Cubes and Cube Roots
7: Comparing Quantities
8: Algebraic Expressions and Identities
9: Mensuration
10: Exponents and Powers
11: Direct and Inverse Proportions
▶ 12: Factorisation
13: Introduction to Graphs
![NCERT solutions for Mathematics [English] Class 8 chapter 12 - Factorisation - Shaalaa.com](/images/mathematics-english-class-8_6:a152220a99ba47cf8d1b775ab26b8834.jpg "NCERT solutions for Mathematics [English] Class 8 chapter 12 - Factorisation")
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Solutions for Chapter 12: Factorisation
Below listed, you can find solutions for Chapter 12 of CBSE NCERT for Mathematics [English] Class 8.
NCERT solutions for Mathematics [English] Class 8 12 Factorisation EXERCISE 12.1 [Pages 148 - 149]
Find the common factors of the terms.
12x, 36
Find the common factors of the terms.
2y, 22xy
Find the common factors of the terms.
14pq, 28p2q2
Find the common factors of the terms.
2x, 3x2, 4
Find the common factors of the terms.
6 abc, 24ab2, 12a2b
Find the common factors of the terms.
16x3, −4x2, 32x
Find the common factors of the terms.
10pq, 20qr, 30rp
Find the common factors of the terms.
3x2y3, 10x3y2, 6x2y2z
Factorise the following expression:
7x − 42
Factorise the following expression:
6p − 12q
Factorise the following expression:
7a2 + 14a
Factorise the following expression:
−16z + 20z3
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
5x2y − 15xy2
Factorise the following expression:
10a2 − 15b2 + 20c2
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorise the following expression:
x2yz + xy2z + xyz2
Factorise the following expression:
ax2y + bxy2 + cxyz
Factorise.
x2 + xy + 8x + 8y
Factorise.
15xy − 6x + 5y − 2
Factorise.
ax + bx − ay − by
Factorise.
15pq + 15 + 9q + 25p
Factorise.
z − 7 + 7xy − xyz
NCERT solutions for Mathematics [English] Class 8 12 Factorisation EXERCISE 12.2 [Pages 151 - 152]
Factorise the following expression.
a2 + 8a + 16
Factorise the following expression.
p2 − 10p + 25
Factorise the following expression.
25m2 + 30m + 9
Factorise the following expression.
49y2 + 84yz + 36z2
Factorise the following expression.
4x2 − 8x + 4
Factorise the following expression.
121b2 − 88bc + 16c2
Factorise the following expression.
(l + m)2 − 4lm (Hint: Expand (l + m)2 first)
Factorise the following expression.
a4 + 2a2b2 + b4
Factorise.
4p2 − 9q2
Factorise.
63a2 − 112b2
Factorise.
49x2 − 36
Factorise.
16x5 − 144x3
Factorise.
(l + m)2 − (l − m)2
Factorise.
9x2y2 − 16
Factorise.
(x2 − 2xy + y2) − z2
Factorise.
25a2 − 4b2 + 28bc − 49c2
Factorise the expression.
ax2 + bx
Factorise the expression.
7p2 + 21q2
Factorise the expression.
2x3 + 2xy2 + 2xz2
Factorise the expression.
am2 + bm2 + bn2 + an2
Factorise the expression.
(lm + l) + m + 1
Factorise the expression.
y (y + z) + 9 (y + z)
Factorise the expression.
5y2 − 20y − 8z + 2yz
Factorise the expression.
10ab + 4a + 5b + 2
Factorise the expression.
6xy − 4y + 6 − 9x
Factorise.
a4 − b4
Factorise.
p4 − 81
Factorise.
x4 − (y + z)4
Factorise.
x4 − (x − z)4
Factorise.
a4 − 2a2b2 + b4
Factorise the following expression.
p2 + 6p + 8
Factorise the given expression.
q2 − 10q + 21
Factorise the given expression.
p2 + 6p − 16
NCERT solutions for Mathematics [English] Class 8 12 Factorisation EXERCISE 12.3 [Page 155]
Carry out the following division:
28x4 ÷ 56x
Carry out the following divisions:
−36y3 ÷ 9y2
Carry out the following divisions:
66pq2r3 ÷ 11qr2
Carry out the following divisions:
34x3y3z3 ÷ 51xy2z3
Carry out the following divisions:
12a8b8 ÷ (−6a6b4)
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Divide the given polynomial by the given monomial.
8(x3y2z2 + x2y3z2 + x2y2z3) ÷ 4x2y2z2
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Divide the given polynomial by the given monomial.
(p3q6 − p6q3) ÷ p3q3
Work out the following division:
(10x − 25) ÷ 5
Work out the following division:
(10x − 25) ÷ (2x − 5)
Work out the following division:
10y(6y + 21) ÷ 5(2y + 7)
Work out the following division:
9x2y2(3z − 24) ÷ 27xy(z − 8)
Work out the following division:
96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)
Divide as directed.
5(2x + 1) (3x + 5) ÷ (2x + 1)
Divide as directed.
26xy(x + 5) (y − 4) ÷ 13x(y − 4)
Divide as directed.
52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)
Divide as directed.
20(y + 4) (y2 + 5y + 3) ÷ 5(y + 4)
Divide as directed.
x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
Factorise the expression and divide them as directed.
(y2 + 7y + 10) ÷ (y + 5)
Factorise the expression and divide them as directed.
(m2 − 14m − 32) ÷ (m + 2)
Factorise the expression and divide them as directed.
(5p2 − 25p + 20) ÷ (p − 1)
Factorise the expression and divide them as directed.
4yz(z2 + 6z − 16) ÷ 2y(z + 8)
Factorise the expression and divide them as directed.
5pq(p2 − q2) ÷ 2p(p + q)
Factorise the expression and divide them as directed.
12xy(9x2 − 16y2) ÷ 4xy(3x + 4y)
Factorise the expression and divide them as directed.
39y3(50y2 − 98) ÷ 26y2(5y + 7)
Solutions for 12: Factorisation
NCERT solutions for Mathematics [English] Class 8 chapter 12 - Factorisation
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 8 CBSE 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. NCERT solutions for Mathematics Mathematics [English] Class 8 CBSE 12 (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. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 8 chapter 12 Factorisation are Factors and Common Factors, Factorisation by Taking Out Common Factors, Factorising Algebraic Expressions, Factorisation by Regrouping Terms, Factorisation Using Identities, Factors of the Form (x + a)(x + b), Dividing a Monomial by a Monomial, Dividing a Polynomial by a Monomial, Dividing a Polynomial by a Polynomial, Concept of Find the Error, Factors and Common Factors, Factorisation by Taking Out Common Factors, Factorising Algebraic Expressions, Factorisation by Regrouping Terms, Factorisation Using Identities, Factors of the Form (x + a)(x + b), Dividing a Monomial by a Monomial, Dividing a Polynomial by a Monomial, Dividing a Polynomial by a Polynomial, Concept of Find the Error.
Using NCERT Mathematics [English] Class 8 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 NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 8 students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 12, Factorisation Mathematics [English] Class 8 additional questions for Mathematics Mathematics [English] Class 8 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
