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

## AP Board Class 8 Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Book Answers

 AP Board Class 8 Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbook Solutions PDF: Download Andhra Pradesh Board STD 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Book Answers

## Andhra Pradesh State Board Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Books Solutions

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## AP Board Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Multiply the binomials:
(i) 2a – 9 and 3a + 4
(ii) x – 2y and 2x – y
(iii) kl + lm and k – l
(iv) m2 – n2 and m + n
Solution:
i) 2a – 9 and 3a + 4
(2a – 9) (3a + 4) = 2a (3a + 4) – 9(3a + 4)
= 6a2 + 8a – 27a – 36
= 6a2 – 19a – 36

ii) x – 2y and 2x – y
(x – 2y) (2x – y) = x(2x – y) – 2y(2x – y)
= 2x2 – xy – 4xy + 2y2
= 2x2 – 5xy + 2y2

iii) kl + lm and k – l
(kl + lm) (k – l) = kl(k – l) + lm(k – l)
= k2l – l2k + klm – l2m

iv) m2 – n2 and m + n
(m2 – n2) (m + n) = m2(m + n) – n2(m + n)
= m3 + m2n – n2m – n3

Question 2.
Find the product:
(i) (x + y)(2x – 5y + 3xy)
(ii) (mn – kl + km) (kl – lm)
(iii) (a – 2b + 3c)(ab2 – a2b)
(iv) (p3 + q3)(p – 5q+6r)
Solution:
i) (x + y) (2x – 5y + 3xy)
= x(2x – 5y + 3xy) + y(2x – 5y + 3xy)
= 2x2 – 5xy + 3x2y + 2xy – 5y2 + 3xy2
= 2x2 – 5y2 – 3xy + 3x2y + 3xy2

ii) (mn – kl + km) (kl – lm)
= kl(mn – kl + km) – lm(mn – kl + km)
= klmn – k2l2 + k2lm – lm2n + kl2m – klm2

iii) (a – 2b + 3c) (ab2 – a2b) = a(ab2 – a2b) – 2b(ab2 – a2b) + 3c(ab2– a2b)
= a2b2 – a3b – 2ab3 + 2a2b2 + 3ab2c – 3a2bc
= 3a2b2 – a3b – 2ab3 + 3ab2c – 3a2bc

iv) (p3 + q3) (p – 5q + 6r) = p3(p – 5q + 6r) + q3(p – 5q + 6r)
= p4 – 5p3q + 6p3r + pq3 – 5q4 + 6rq3
= p4 – 5q4 – 5p3q + 6p3r + pq3 + 6rq3

Question 3.
Simplify the following:
(i) (x-2y) (y – 3x) + (x+y) (x-3y) – (y – 3x) (4x – 5y)
(ii) (m + n) (m2 – mn + n2)
(iii) (a – 2b + 5c) (a – b) – (a – b – c) (2a + 3c) + (6a + b) (2c – 3a – 5b)
(iv) (pq-qr-i-pr) (pq-i-qr) – (pr-i-pq) (p-i-q – r)
Solution:
i) (x – 2y) (y – 3x) + (x + y) (x – 3y) – (y – 3x) (4x – 5y)
= (y – 3x) [x – 2y – (4x – 5y)] + (x + y)(x – 3y)
= (y – 3x) [x – 2y – 4x + 5y] + (x + y) (x – 3y)
= (y – 3x) (3y – 3x) + (x + y) (x – 3y)
= y(3y – 3x) – 3x(3y – 3x) + x(x – 3y) + y(x – 3y)
= 3y2 – 3xy – 9xy + 9x2 + x2 – 3xy + xy – 3y2
= 10x2 – 14xy

ii) (m + n) (m2– mn + n2)
= m(m2 – mn + n2) + n(m2 – mn + n2)
= m3 – m2n + n2m + nm2 – mn2 + n3
= m3 + n3

iii) (a – 2b + 5c) (a – b) – (a – b – c) (2a + 3c) + (6a + b) (2c – 3a – 5b)
= a(a – 2b + 5c) – b(a – 2b + 5c) – 2a(a – b – c) – 3c(a – b – c) + 6a(2c – 3a – 5b) + b(2c – 3a – 5b)
= a2 – 2ab + 5ac – ab + 2b2 – 5bc – 2a2 + 2ab + 2ac – 3ac + 3bc + 3c2 + 12ac – 18a2 – 30ab + 2bc – 3ab – 5b2
= – 19a2 – 3b2 – 34ab + 16ac + 3c2

iv) (pq – qr + pr) (pq + qr) – (pr + pq) (p + q – r)
= pq(pq – qr + pr) + qr(pq – qr + pr) – pr(p + q – r) – pq(p + q – r)
= p2q2 – pq2r + p2qr + pq2r – q2r2 + pqr2 – p2r – pqr + pr2 – p2q – pq2 + pqr
= p2q2 – q2r2 + p2qr + pqr2 – p2r + pr2 – p2q – pq 2

Question 4.
If a, b, care positive real numbers such that 𝑎+𝑏−𝑐𝑐=𝑎−𝑏+𝑐𝑏=−𝑎+𝑏+𝑐𝑎 ,find the value of (𝑎+𝑏)(𝑏+𝑐)(𝑐+𝑎)𝑎𝑏𝑐
Solution:
𝑎+𝑏−𝑐𝑐=𝑎−𝑏+𝑐𝑏=−𝑎+𝑏+𝑐𝑎 = k then
𝑎+𝑏−𝑐𝑐 = k ⇒ a + b – c = kc
⇒ a + b = (ck + c) = c(k + 1) …………… (1)
Similarly b + c = a(k + 1) ……………(2)
c + a = b(k + 1) ………………..(3)

## Andhra Pradesh Board Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbooks for Exam Preparations

Andhra Pradesh Board Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 exam preparation. The AP Board STD 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 8th Maths Chapter 11 Algebraic Expressions Ex 11.3 Books State Board syllabus with maximum efficiency.

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

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

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