Question

Simplify.(3x^2−2x+2)−(x^2+5x−5)

Answer 1

`2x^2-7x+7`

1) Let's simplify that expression step by step:

`\begin{gathered} \left(3x^2−2x+2\right)−\left(x^2+5x−5\right)\:\:Remove\:the\:Parentheses \\ \\ 3x^2-2x+2-\left(x^2+5x-5\right) \\ \\ 3x^2-2x+2-x^2-5x+5\:\:\:Group\:like\:terms \\ \\ 3x^2-x^2-2x-5x+2+5\:\:\:\:Combine\:like\:terms \\ \\ 2x^2-7x+7 \end{gathered}`

2) Thus, the answer is:

`2x^2-7x+7`