Question
Answer
$$(7x-3)(5x+4)=35x^2+13x-12$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7x-3)(5x+4)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}35x^2+28x-15x-12 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}35x^2+13x-12\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7x-3}\right) $ by each term in $ \left( 5x+4\right) $. $$ \left( \color{blue}{7x-3}\right) \cdot \left( 5x+4\right) = 35x^2+28x-15x-12 $$ |
| ② | Combine like terms: $$ 35x^2+ \color{blue}{28x} \color{blue}{-15x} -12 = 35x^2+ \color{blue}{13x} -12 $$ |
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