Question

Subtract the polynomials (simplify) (4m^2 - 5m - 5) -( 2m^2 +m -7)

Answer 1

We want to simplify the following expression

$(4m^2-5m-5)-(2m^2+m-7)$

Using the distributive property, first we're going to multiply every term of the second parenthesis by (- 1).

$(4m^2-5m-5)-(2m^2+m-7)=4m^2-5m-5-2m^2-m+7$

Then, to simplify this expression we just have to operate on the corresponding coefficients

$\begin{gathered} 4m^2-5m-5-2m^2-m+7 \\ =4m^2-2m^2-5m-m-5+7 \\ =(4+(-2))m^2+((-5)+(-1))m+((-5)+7) \\ =(4-2)m^2+(-5-1)m+(-5+7) \\ =2m^2-6m+2 \end{gathered}$

And this is the simplified form.

$(4m^2-5m-5)-(2m^2+m-7)=2m^2-6m+2$