Question
Answer
$$(5x-4)(5x+3)=25x^2-5x-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x-4)(5x+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25x^2+15x-20x-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25x^2-5x-12\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x-4}\right) $ by each term in $ \left( 5x+3\right) $. $$ \left( \color{blue}{5x-4}\right) \cdot \left( 5x+3\right) = 25x^2+15x-20x-12 $$ |
| ② | Combine like terms: $$ 25x^2+ \color{blue}{15x} \color{blue}{-20x} -12 = 25x^2 \color{blue}{-5x} -12 $$ |
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