# HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

## AP Board Class 8 Maths Chapter 12 Factorisation Ex 12.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 12 Factorisation Ex 12.3 Book Answers

 AP Board Class 8 Maths Chapter 12 Factorisation Ex 12.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 12 Factorisation Ex 12.3 Book Answers

## Andhra Pradesh State Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 Books Solutions

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## AP Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Carry out the following divisions
(i) 48a3 by 6a
(ii) 14xby 42x3
(iii) 72a3b4c5 by 8ab2c3
(iv) 11xy2z3 by 55xyz
(v) -54l4m3n2 by 9l2m2n2
Solution:
(i) 48a3 by 6a
48a3 ÷ 6a
= 6×8×𝑎×𝑎26×𝑎
= 8a2

(ii) 14xby 42x3
= 14x3 ÷ 42x3

(iii) 72a3b4c5 by 8ab2c3

(iv) 11xy2z3 by 55xyz
11xy2z3 ÷ 55xyz

(v) -54l4m3n2 by 9l2m2n2
-54l4m3n2 ÷ 9l2m2n2

= -6l2m

Question 2.
Divide the given polynomial by the given monomial
(i) (3x2 – 2x) ÷ x
(ii) (5a3b – 7ab3) ÷ ab
(iii) (25x5 – 15x4) ÷ 5x3
(iv) (4l5 – 6l4 + 8l3) ÷ 2l2
(v) 15 (a3b2c2 – a2b3c2 + a2b2c3 ) ÷ 3abc
(vi) 3p3– 9p2q – 6pq2) ÷ (-3p)
(vii) (23 a2 b2 c2+ 43 a b2 c3) ÷ 12abc
Solution:
(i) (3x2 – 2x) ÷ x

(ii) (5a3b – 7ab3) ÷ ab

(iii) (25x5 – 15x4) ÷ 5x3

= 5x2 – 3x (or) x(5x – 3)

(iv) (4l5 – 6l4 + 8l3) ÷ 2l2

= 2l2 – 3l2 + 4l = l(2l2 – 3l + 4)

(v) 15 (a3 b2 c2 – a2 b3 c2 + a2 b2 c3 ) ÷ 3abc

= 5[a x abc – b x abc + c x abc ]
= 5abc [a – b + c]

(vi) 3p3– 9p2q – 6pq2) ÷ (-3p)

= -[p2 – 3pq – 2q2]
= 22 + 3pq – p2

(vii) (23 a2b2c2+ 43 ab2c3) ÷ 12abc

Question 3.
Workout the following divisions:
(i) (49x -63) ÷ 7
(ii) 12x (8x – 20,) ÷ 4(2x – 5)
(iii) 11a3 b3 (7c – 35) ÷ 3a2 b2 (c – 5)
(iv) 54lmn (l + m) (m + n) (n + l) ÷ 8 lmn (l + m) (n +l)
(v) 36(x + 4)(x2 + 7x + 10) ÷ 9(x + 4)
(vi) a(a+1)(a+2)(a + 3) ÷ a(a + 3)
Solution:
(i) (49x -63) ÷ 7

(ii) 12x (8x – 20,) ÷ 4(2x – 5)

(iii) 11a3 b3 (7c – 35) ÷ 3a2 b2 (c – 5)

(iv) 54lmn (l + m) (m + n) (n + l) ÷ 8 lmn (l + m) (n +l)

(v) 36(x + 4)(x2 + 7x + 10) ÷ 9(x + 4)

4 ( x2 + 7x + 10)
= 4 ( x2 + 5x + 2x + 10)
= 4 [x( x + 5) +2(x + 5)]
= 4( x + 5) (x + 2)

(vi) a(a+1)(a+2)(a + 3) ÷ a(a + 3)

= ( a + 1)(a + 2)

Question 4.
Factorize the expressions and divide them as directed:
(i) (x2 + 7x + 12) ÷ (x + 3)
(ii) (x2 – 8x + 12) ÷ (x – 6)
(iii) (p2 + 5p + 4,) (p + l)
(iv) 15ab(a2 – 7a + 10) ÷ 3b(a – 2)
(v) 151m (2p2 – 2q2) ÷ 3l(p + q)
(vi) 26z3(32z2 – 18,) ÷ 13z2 (4z – 3)
Solution:
(i) (x2 + 7x + 12) ÷ (x + 3)
(x2 + 7x + 12) ÷ (x + 3)
x2 + 7x + 12 = x2 + 3x + 4x + 12
= x(x + 3) + 4(x + 3)
= (x + 3) (x + 4)

(ii) (x2 – 8x + 12) ÷ (x – 6)
(x2 – 8x + 12) ÷ (x – 6)
x2 – 8x + 12 = x2 – 6x – 2x + 12
= x(x – 6) – 2(x – 6)
= (x – 6) (x – 2)
∴ (x2 – 8x + 12) 4 (x – 6)
= (𝑥−6)(𝑥−2)(𝑥−6) = x – 2

(iii) (p2 + 5p + 4,) (p + 1)
p2 + 5p + 4 = p2 + p + 4p + 4
= p(p + 1) + 4(p + 1)
= (p + 1) (p + 4)
(p2 + 5p + 4) ÷ (p + 1)
= (𝑝+1)(𝑝+4)(𝑝+1) = p + 4

(iv) 15ab(a2 – 7a + 10) ÷ 3b(a – 2)
15ab (a2 – 7a + 10) ÷ 3b (a – 2)
15ab (a2 – 7a + 10) = 15ab (a2 – 5a – 2a + 10)
= 15ab [(a2 – 2a) – (5a -10)]
= 15ab [a(a – 2) – 5(a – 2)]
= 15ab(a – 2)(a – 5)
∴ 15ab (a2 – 7a + 10) ÷ 3b (a – 2)

(v) 151m (2p2 – 2q2) ÷ 3l(p + q)
15lm (2p2 – 2q2) ÷ 3l (p + q)
15lm (2p2 – 2q2) = 15lm x 2(p2 – q2)
= 30lm (p + q) (p – q)
∴ 15lm(2p2 – 2q2) ÷ 3l(p + q)

(vi) 26z3(32z2 – 18,) ÷ 13z2 (4z – 3)
26z3(32z2 – 18) ÷ 13z2 (4z – 3)
26z3(32z2 – 18) = 26z3 (2 x 16z2 – 2 x 9)
= 26z3 x 2 [16z3 – 9]
= 52z3 [(4z)3 – (3)3]
= 52z3 (4z + 3) (4z – 3)
∴ 26z3 (32z2 – 18) ÷ 13z2 (4z – 3)

## Andhra Pradesh Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 exam preparation. The AP Board STD 8th Maths Chapter 12 Factorisation Ex 12.3 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 12 Factorisation Ex 12.3 Books State Board syllabus with maximum efficiency.

## FAQs Regarding Andhra Pradesh Board Class 8th Maths Chapter 12 Factorisation Ex 12.3 Textbook Solutions

#### Can we get a Andhra Pradesh State Board Book PDF for all Classes?

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