Mathematics
1 − x9 = (1 − x)(1 + x + x2) ……………
1 − x3 + x6
1 + x3 + x6
1 − x3 − x6
1 + x3 − x6
Factorisation
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Answer
Given,
⇒ 1 − x9
⇒ (1)3 − (x3)3
By using identity,
a3 - b3 = (a - b)(a2 + ab + b2)
⇒ (1 - x3)(12 + x3(1) + (x3)2)
⇒ [(1)3 - (x)3](1 + x3 + x6)
⇒ (1 - x)(12 + x(1) + x2)(1 + x3 + x6)
⇒ (1 - x)(1 + x + x2)(1 + x3 + x6).
Hence, option 2 is correct option.
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