Ncert solutions

Ncert solutions

Grade 8

Algebraic Expressions and Identities | Exercise 9.3

Question 1

Q1) Carry out the multiplication of the expressions in each of the following pairs:

(i) 4p,\ q+r

(ii) ab,\ a\ -\ b

(iii) a+b,\ 7a^2b^2

(iv) a^2-9,\ 4a

(v) pq+qr+rp, 0

Solution:

(i) 4p\times\left(q+r\right)=4p\times q+4p\times r\ =\ 4pq+4pr

(ii) ab\times\left(a-b\right)=ab\times a-ab\times b=a^2b-ab^2

(iii) \left(a+b\right)\times7a^2b^2=a\times7a^2b^2+b\times7a^2b^2=7a^3b^2+7a^2b^3

(iv) \left(a^2-9\right)\times4a=a^2\times4a-4a\times9=4a^3-36a

(v) (pq+qr+rp) x 0 = pq x 0 + qr x 0 + rp x 0

= 0 + 0 + 0 = 0

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subject-cta

Question 1

Q1) Carry out the multiplication of the expressions in each of the following pairs:

(i) 4p,\ q+r

(ii) ab,\ a\ -\ b

(iii) a+b,\ 7a^2b^2

(iv) a^2-9,\ 4a

(v) pq+qr+rp, 0

Solution:

(i) 4p\times\left(q+r\right)=4p\times q+4p\times r\ =\ 4pq+4pr

(ii) ab\times\left(a-b\right)=ab\times a-ab\times b=a^2b-ab^2

(iii) \left(a+b\right)\times7a^2b^2=a\times7a^2b^2+b\times7a^2b^2=7a^3b^2+7a^2b^3

(iv) \left(a^2-9\right)\times4a=a^2\times4a-4a\times9=4a^3-36a

(v) (pq+qr+rp) x 0 = pq x 0 + qr x 0 + rp x 0

= 0 + 0 + 0 = 0

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subject-cta
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