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Question
Factorise:
x3 – 216y3 – 3x + 18y
Sum
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Solution
Given expression: x3 – 216y3 – 3x + 18y
⇒ (x3 – 216y3) – 3(x – 6y)
⇒ (x3 – 6y3) – 3(x – 6y)
We know that,
a3 – b3 = (a – b)(a2 + ab + b2)
Hence,
⇒ (x – 6y) (x2 + 6xy + 36y2) – 3(x – 6y)
⇒ (x – 6y) (x2 + 6xy + 36y2 – 3)
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