Answer
$$5x^2-7x+10-(6x^2+8x-5)=-x^2-15x+15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^2-7x+10-(6x^2+8x-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2-7x+10-6x^2-8x+5 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-x^2-15x+15\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 6x^2+8x-5 \right) = -6x^2-8x+5 $$ |
| ② | Combine like terms: $$ \color{blue}{5x^2} \color{red}{-7x} + \color{green}{10} \color{blue}{-6x^2} \color{red}{-8x} + \color{green}{5} = \color{blue}{-x^2} \color{red}{-15x} + \color{green}{15} $$ |
This page was created using
Simplify polynomials calculator