Question

How do I Solve this problem?

Answer 1

U would factor by grouping and get x^2(x-2) + 3(x-2) and then get (x^2 +3) (x-2)

Answer 2

$Firstly, =\left(x^3-2x^2\right)+\left(3x-6\right)$

$\mathrm{Factor\:out\:}x^2\mathrm{\:from\:}x^3-2x^2\mathrm{:\quad }x^2\left(x-2\right)$
$\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x-6\mathrm{:\quad }3\left(x-2\right)$
$=x^2\left(x-2\right)+3\left(x-2\right)$
$\mathrm{Factor\:out\:common\:term\:}\left(x-2\right)$
$=\left(x-2\right)\left(x^2+3\right)$

Hope this helps.