We need to factor in the next given expression:
[tex]a^4-32a^2+256[/tex]Now, set u=a²
Then, we can rewrite the expression as:
[tex]u^2-32u+265[/tex]The expression can be factor using the difference of squares:
[tex]=(u-16)(u+16)[/tex]Use a²=u
[tex]=(a^2-16)(a^2+16)[/tex]It can be simplified as:
[tex](a-4)^2(a+4)^2[/tex]Hence, the factors are a+4 and a-4.
