Question
Answer
$$5x^2+4x-7-(8x^2-4x+6)=-3x^2+8x-13$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^2+4x-7-(8x^2-4x+6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2+4x-7-8x^2+4x-6 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-3x^2+8x-13\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8x^2-4x+6 \right) = -8x^2+4x-6 $$ |
| ② | Combine like terms: $$ \color{blue}{5x^2} + \color{red}{4x} \color{green}{-7} \color{blue}{-8x^2} + \color{red}{4x} \color{green}{-6} = \color{blue}{-3x^2} + \color{red}{8x} \color{green}{-13} $$ |
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