Question
Answer
$$5x^2-(3-x)+7x+2x+x^2=6x^2+10x-3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^2-(3-x)+7x+2x+x^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^2-3+x+7x+2x+x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^2+8x-3+2x+x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}6x^2+10x-3\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3-x \right) = -3+x $$ |
| ② | Combine like terms: $$ 5x^2-3+ \color{blue}{x} + \color{blue}{7x} = 5x^2+ \color{blue}{8x} -3 $$ |
| ③ | Combine like terms: $$ \color{blue}{5x^2} + \color{red}{8x} -3+ \color{red}{2x} + \color{blue}{x^2} = \color{blue}{6x^2} + \color{red}{10x} -3 $$ |
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