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!