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Question
Factorize x3 -12x ( x - 4) - 64
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Solution
x3 -12x ( x - 4) - 64
= x3 -12x2 + 48x - 64
= ( x)3 - 3 × x2 × 4 + 3 × 42 × x - 43
= ( x - 4)3 [ ∵ a3 - 3a2b + 3ab2 - b3 = (a - b)3]
= ( x - 4)( x - 4)( x - 4)
∴ x3 -12x ( x - 4) - 64 = ( x - 4)( x - 4)( x - 4)
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