Question
Answer
$$(12v-13w)(12v+13w)=144v^2-169w^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(12v-13w)(12v+13w)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}144v^2+156vw-156vw-169w^2 \xlongequal{ } \\[1 em] & \xlongequal{ }144v^2+ \cancel{156vw} -\cancel{156vw}-169w^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}144v^2-169w^2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{12v-13w}\right) $ by each term in $ \left( 12v+13w\right) $. $$ \left( \color{blue}{12v-13w}\right) \cdot \left( 12v+13w\right) = 144v^2+ \cancel{156vw} -\cancel{156vw}-169w^2 $$ |
| ② | Combine like terms: $$ 144v^2+ \, \color{blue}{ \cancel{156vw}} \, \, \color{blue}{ -\cancel{156vw}} \,-169w^2 = 144v^2-169w^2 $$ |
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