Question
Answer
$$(7m^6+6)(7m^6-6)=49m^{12}-36$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(7m^6+6)(7m^6-6)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}49m^{12}-42m^6+42m^6-36 \xlongequal{ } \\[1 em] & \xlongequal{ }49m^{12} -\cancel{42m^6}+ \cancel{42m^6}-36 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}49m^{12}-36\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{7m^6+6}\right) $ by each term in $ \left( 7m^6-6\right) $. $$ \left( \color{blue}{7m^6+6}\right) \cdot \left( 7m^6-6\right) = 49m^{12} -\cancel{42m^6}+ \cancel{42m^6}-36 $$ |
| ② | Combine like terms: $$ 49m^{12} \, \color{blue}{ -\cancel{42m^6}} \,+ \, \color{blue}{ \cancel{42m^6}} \,-36 = 49m^{12}-36 $$ |
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