Question

Factorise: $a$ power 4 $x$ square minus 2 $a$ cube $x$ plus $a$ square

Answer 1

$a^4{x}^2-2a^{3}x+a^2=(a^{2}x{)}^2-2(a^{2}x\left)\right(a)+a^2$

$=(a^{2}x-a{)}^2$

$=a^2(ax-1{)}^2$

$=a^2(ax-1)(ax-1)$