Question
Answer
$$(4b-3)(5b+5)=20b^2+5b-15$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4b-3)(5b+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}20b^2+20b-15b-15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20b^2+5b-15\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{4b-3}\right) $ by each term in $ \left( 5b+5\right) $. $$ \left( \color{blue}{4b-3}\right) \cdot \left( 5b+5\right) = 20b^2+20b-15b-15 $$ |
| ② | Combine like terms: $$ 20b^2+ \color{blue}{20b} \color{blue}{-15b} -15 = 20b^2+ \color{blue}{5b} -15 $$ |
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