# How do you combine like terms in (8x^2+7c-5)-(3x^2-4x)-(-6x^3-5x^2+3)?

Sep 23, 2016

$6 {x}^{3} + 10 {x}^{2} + 4 x + 7 c - 8$

#### Explanation:

Remove the brackets first, be careful with the signs - the minus signs make the signs inside the brackets change.

$8 {x}^{2} + 7 c - 5 - 3 {x}^{2} + 4 x + 6 {x}^{3} + 5 {x}^{2} - 3$

Now identify any like terms - you might like to re-arrange the expression first, then simplify.

=$\textcolor{m a \ge n t a}{6 {x}^{3}} \textcolor{b l u e}{+ 8 {x}^{2} + 5 {x}^{2} - 3 {x}^{2}} \textcolor{\lim e}{+ 4 x} \textcolor{red}{+ 7 c} \textcolor{\mathmr{and} a n \ge}{- 5 - 3}$

=$\textcolor{m a \ge n t a}{6 {x}^{3}} \textcolor{b l u e}{+ 10 {x}^{2}} \textcolor{\lim e}{+ 4 x} \textcolor{red}{+ 7 c} \textcolor{\mathmr{and} a n \ge}{- 8}$