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Question -

Find the product.
(i) (5 – 2x) (3 + x)
(ii) (x + 7y) (7x – y)
(iii) (a2+ b) (a + b2)
(iv) (p2 – q2) (2p + q)



Answer -

(i) (5 – 2x) (3 + x)

= 5 (3 + x) – 2x (3 + x)

=15 + 5x – 6x – 2x2

= 15 – x -2 x 2

(ii) (x + 7y) (7x – y)

= x(7x-y) + 7y ( 7x-y)

=7x2 –xy + 49xy – 7y2

= 7x2 –7y2 +48xy

iii) (a2+ b) (a+ b2)

= a2 (a + b2) + b(a+ b2)

= a3 + a2b2 +ab + b3

= a3 + b3 + a2b2 + ab

iv) (p2– q2) (2p + q)

= p(2p + q)– q2 (2p+ q)

=2p3 + p2q – 2pq2 – q3

= 2p3 – q3 + p2q – 2pq2

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