Question

The factors of a2-1 -2x –x2
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Answer 1

the answer is (a+x+1)(a−x−1)

a2−1−2x−x2

⇒  a2−(1+2x+x3)

⇒  a2−[(1)2+2×1×x+(x)2]

⇒  a2−(1+x)2

⇒  [a+(1+x)][a−(1+x)]

⇒  (a+1+x)(a−1−x)

⇒  (a+x+1)(a−x−1)