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Question
Factorize the following expressions:
p3 + 27
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Solution
p3 + 27
= p3 + 33
= ( p + 3)( p2 - 3p + 32 ) [∵ a3 + b3 = (a + b)(a2 - ab + b2 )]
= ( p + 3)( p2 - 3 p + 9)
∴ p3 + 27 = ( p + 3)( p2 - 3 p + 9)
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