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