Question
Factorise the following expressions.
$ a^3+a^2+a+1 $
$ a^3+a^2+a+1 $
✓
Answer
$ a^3+a^2+a+1 $
$=a^2(a+1)+1(a+1) $
$ =(a+1)\left(a^2+1\right) $
$=a^2(a+1)+1(a+1) $
$ =(a+1)\left(a^2+1\right) $
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