Question
Answer
$$6x^2+8-(8-3x^2+6x)=9x^2-6x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}6x^2+8-(8-3x^2+6x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}6x^2+8-8+3x^2-6x \xlongequal{ } \\[1 em] & \xlongequal{ }6x^2+ \cancel{8} -\cancel{8}+3x^2-6x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9x^2-6x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8-3x^2+6x \right) = -8+3x^2-6x $$ |
| ② | Combine like terms: $$ \color{blue}{6x^2} + \, \color{red}{ \cancel{8}} \, \, \color{red}{ -\cancel{8}} \,+ \color{blue}{3x^2} -6x = \color{blue}{9x^2} -6x $$ |
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