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Question
Factorize x3 + 8y3 + 6x2 y +12xy2
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Solution
= ( x)3 + (2 y)3 + 3 × x2 × 2 y + 3 × x × (2 y)2
= ( x + 2 y)3 [ ∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3]
= ( x + 2 y)( x + 2 y )( x + 2 y )
∴ x3 + 8 y3 + 6x2 y +12xy2 = ( x + 2y )( x + 2 y )( x + 2 y)
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