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