Question
Answer
$$x^2+17x-(3x^2+5x)=-2x^2+12x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x^2+17x-(3x^2+5x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^2+17x-3x^2-5x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2x^2+12x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x^2+5x \right) = -3x^2-5x $$ |
| ② | Combine like terms: $$ \color{blue}{x^2} + \color{red}{17x} \color{blue}{-3x^2} \color{red}{-5x} = \color{blue}{-2x^2} + \color{red}{12x} $$ |
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