MCQ
The factors of $a^2-1-2 x-x^2$ are:
- A$(a - x + 1)(a - x - 1)$
- B$(a + x - 1)(a - x + 1)$
- ✓$(a + x +1)(a - x + 1)$
- DNone of these.
✓
Answer
Correct option: C.
$(a + x +1)(a - x + 1)$
$a^2-1-2 x-x^2$
$=a^2-\left(1+2 x+x^2\right)$
$=a^2-(1+x)^2$
$=[a-(1+x)][a+(1+x)]$
$=(a-x-1)(a+x+1)$
Hence, correct option is $(c).$
$=a^2-\left(1+2 x+x^2\right)$
$=a^2-(1+x)^2$
$=[a-(1+x)][a+(1+x)]$
$=(a-x-1)(a+x+1)$
Hence, correct option is $(c).$
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