Question
Answer
$$(5x-6y)(5x^2+30xy+36)=25x^3+120x^2y-180xy^2+180x-216y$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x-6y)(5x^2+30xy+36)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25x^3+150x^2y+180x-30x^2y-180xy^2-216y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25x^3+120x^2y-180xy^2+180x-216y\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x-6y}\right) $ by each term in $ \left( 5x^2+30xy+36\right) $. $$ \left( \color{blue}{5x-6y}\right) \cdot \left( 5x^2+30xy+36\right) = 25x^3+150x^2y+180x-30x^2y-180xy^2-216y $$ |
| ② | Combine like terms: $$ 25x^3+ \color{blue}{150x^2y} +180x \color{blue}{-30x^2y} -180xy^2-216y = 25x^3+ \color{blue}{120x^2y} -180xy^2+180x-216y $$ |
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