Question

Expand each of the following using suitable identities(p+1)³

Answer 1

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Using ( a + B )^3

(a + b) ^3 = a^3 + b^3 + 2 ( a+ b) ( ab )

(p + 1)^3 = (p)^3 + (1)^3 + 2 ( p + 1) (p)

= p^3 + 1 + 2p + 2p

= p^3 + 1 + 2p^2 + 2p

Answer 2

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Using ( a + B )^3

(a + b) ^3 = a^3 + b^3 + 2 ( a+ b) ( ab )

(p + 1)^3 = (p)^3 + (1)^3 + 2 ( p + 1) (p)

= p^3 + 1 + 2p + 2p

= p^3 + 1 + 2p^2 + 2p