Question

How do you simplify `(2-3sqrt(x))^2`?

Answer 1

`(2-3sqrtx)^2=9x-12sqrtx+4`

Explanation:

To find `(2-3sqrtx)^2`, we use the perfect square identity:

`(a-b)^2=a^2-2ab+b^2`

So

`(2-3sqrtx)^2=2^2-2(2)3sqrtx+(3sqrtx)^2=4-12sqrtx+9x=9x-12sqrtx+4`