Question
Factorise:
$a^2 x^2+\left(a x^2+1\right) x+a$
$a^2 x^2+\left(a x^2+1\right) x+a$
✓
Answer
$a^2 x^2+\left(a x^2+1\right) x+a$
$=a^2 x^2+a x^3+x+a$
$=a x^2(a+x)+1(x+a)$
$=\left(a x^2+1\right)(a+x)$
$=a^2 x^2+a x^3+x+a$
$=a x^2(a+x)+1(x+a)$
$=\left(a x^2+1\right)(a+x)$
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