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Question
Factorize the following expressions:
1029 – 3x3
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Solution
= 3(343 - x3)
= 3(73 - x3)
= 3(7 - x)(72 + 7 x x + x2) [∵ a3 - b3 = (a - b)(a2 + ab + b2) ]
= 3(7 - x)(49 + 7x + x2 )
∴ 1029 - 3x3 = 3(7 - x)(49 + 7x + x2 )
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