Question
Answer
$$(7-6y)(6y-7)=-36y^2+84y-49$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7-6y)(6y-7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}42y-49-36y^2+42y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-36y^2+84y-49\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7-6y}\right) $ by each term in $ \left( 6y-7\right) $. $$ \left( \color{blue}{7-6y}\right) \cdot \left( 6y-7\right) = 42y-49-36y^2+42y $$ |
| ② | Combine like terms: $$ \color{blue}{42y} -49-36y^2+ \color{blue}{42y} = -36y^2+ \color{blue}{84y} -49 $$ |
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