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Question
Factorise:
x4 – x3 – 8x + 8
Sum
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Solution
Given expression: x4 – x3 – 8x + 8
⇒ x3(x – 1) – 8(x – 1)
⇒ (x – 1) (x3 – 8)
⇒ (x – 1) (x3 – 23)
We know that,
a3 – b3 = (a – b) (a2 + ab + b2)
Hence,
⇒ (x – 1) (x – 2) (x2 + 2x + 4)
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