Question
Answer
$$-4x^2+17x+9-(-13x^2+5x+16)=9x^2+12x-7$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-4x^2+17x+9-(-13x^2+5x+16)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-4x^2+17x+9+13x^2-5x-16 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9x^2+12x-7\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( -13x^2+5x+16 \right) = 13x^2-5x-16 $$ |
| ② | Combine like terms: $$ \color{blue}{-4x^2} + \color{red}{17x} + \color{green}{9} + \color{blue}{13x^2} \color{red}{-5x} \color{green}{-16} = \color{blue}{9x^2} + \color{red}{12x} \color{green}{-7} $$ |
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