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Question
Factorise:
x3 + 125y3 + 2x + 10y
Sum
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Solution
Given expression: x3 + 125y3 + 2x + 10y
⇒ (x3 + 125y3) + x3 + (5y)3
= (x + 5y) (x2 – 5xy + 25y2)
⇒ x3 + 125y3 + 2x + 10y
= (x + 5y) (x2 – 5xy + 25y2) + 2x + 10y
= (x + 5y) (x2 – 5xy) + 25
Factor x + 5y
= (x + 5y) [x2 – 5xy + 25y2 + 2]
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