Given:
[tex] 2a^2-16a+32 [/tex]
Before we do anything, check for a GCF. I already notice that 2 is a GCF because everything is divisible by 2 at most. Let's pull out our GCF.
[tex] 2(a^2-8a+16) [/tex]
We can go even further. If we look and see what factors of 16 add up to 8, we can find out that it is -4 and -4 (-4 + -4 = -8) and (-4 * -4 = 16). Let's factor even more.
[tex] 2(a-4)(a-4) [/tex]
We can simplify this to put it in lowest terms possible.
[tex] 2(a-4)^2 [/tex]
This would be your final answer.
