Simplify : p³ – (p + 1)³ - Vidyadip

Question

Simplify :

p³ – (p + 1)³

✓

Answer

p³ – (p + 1)³
= p³ – (p³ + 3p² + 3p + 1) …[∵ (a + b)³ = a³ + 3a²b + 3ab² + b³]
= p³ – p³ – 3p² – 3p – 1
= – 3p² – 3p – 1

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