Question

Subtract. 5x^2-5x+1-(2x^2+9x-6)

Answer 1

Hello!

The answer is:

`3x^(2) -14x+7`

Why?

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

`x^(2) +2x+3x=x^(2) +(2x+3x)=x^(2)+5x`

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

`5x^2-5x+1-(2x^2+9x-6)=5x^(2)-2x^(2)-5x-9x+1-(-6)\\\\(5x^(2)-2x^(2))+(-5x-9x)+(1-(-6))=3x^(2)-14x+7`

Hence, the answer is:

`3x^(2) -14x+7`

Have a nice day!