# Math Help - factor radicals

1. ## factor radicals

(a2+1)2-7(a2+1)+10

ans = Its wrong I tried a4-1+7a2+16

2. ## Re: factor radicals

Originally Posted by zbest1966
(a2+1)2-7(a2+1)+10
There are no radicals here. Did you make a mistake when typing the problem?

Anyway, this is a quadratic in form. Let $u=a^2+1$. Then

$\left(a^2+1\right)^2-7\left(a^2+1\right)+10 = u^2-7u+10$.

Now factor that trinomial on the right, and then substitute for $u$ to get everything back in terms of $a$.

3. ## Re: factor radicals

a^4 + 1-7a^2-7+10

a^4-6-7a^2+10

a^4-7a^2+4

Im stuck

4. ## Re: factor radicals

Originally Posted by zbest1966
a^4 + 1-7a^2-7+10
...
Im stuck
Did you not read what I wrote? We have a quadratic in $a^2+1$. You don't need to multiply everything out. And if you were to multiply everything out, you're doing it wrong: $\left(a^2+1\right)^2\neq a^4+1$.

I've shown you how to reduce the problem to factoring $u^2-7u+10$. Can you factor this trinomial?