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Question
Factorise the following:
27y3 + 125z3
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Solution
We know that = (x + y) (x2 + y2 − xy) = x3 + y3
It is given that = 27y3 + 125z3 = (3y)3 + (5z)3
= (3y + 5z) [(3y)2 − (3y)(5z) + (5z)2]
= (3y + 5z) (9y2 − 15yz + 25z2)
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