Question
Answer
$$8x^2-12x+5-(2x^2+5x-7)=6x^2-17x+12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}8x^2-12x+5-(2x^2+5x-7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8x^2-12x+5-2x^2-5x+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}6x^2-17x+12\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2x^2+5x-7 \right) = -2x^2-5x+7 $$ |
| ② | Combine like terms: $$ \color{blue}{8x^2} \color{red}{-12x} + \color{green}{5} \color{blue}{-2x^2} \color{red}{-5x} + \color{green}{7} = \color{blue}{6x^2} \color{red}{-17x} + \color{green}{12} $$ |
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