Answer
$$(2x+7)(2x-7)=4x^2-49$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2x+7)(2x-7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4x^2-14x+14x-49 \xlongequal{ } \\[1 em] & \xlongequal{ }4x^2 -\cancel{14x}+ \cancel{14x}-49 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}4x^2-49\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2x+7}\right) $ by each term in $ \left( 2x-7\right) $. $$ \left( \color{blue}{2x+7}\right) \cdot \left( 2x-7\right) = 4x^2 -\cancel{14x}+ \cancel{14x}-49 $$ |
| ② | Combine like terms: $$ 4x^2 \, \color{blue}{ -\cancel{14x}} \,+ \, \color{blue}{ \cancel{14x}} \,-49 = 4x^2-49 $$ |
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