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Question
Factorise the following:
8x3 + 125y3
Sum
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Solution
8x3 + 125y3 = (2x)3 + (5y)3
∴ a3 + b3 = (a + b) (a2 – ab + b2)
= (2x + 5y) [(2x)2 – (2x)(5y) + (5y)2]
= (2x + 5y)2 (4x2 – 10xy + 25y2)
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