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 1

(i) (5 – 2x) (3 + x)
= 5 (3 + x) – 2x (3 + x)
=15 + 5x – 6x – 2x²
= 15 – x -2x²

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(ii) (x + 7y) (7x – y)
= x(7x-y) + 7y (7x-y)
=7x² – xy + 49xy – 7y²
= 7x² – 7y² + 48xy

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(iii) (a²+ b) (a + b²)
= a² (a + b²) + b(a + b²)
= a³ + a²b² + ab + b³
= a³ + b³ + a²b² + ab

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(iv) (p²– q²) (2p + q)
= p² (2p + q) – q² (2p + q)
=2p³ + p²q – 2pq² – q³
= 2p³ – q³ + p²q – 2pq²