Question
Answer
$$(6x+5)(6x-5)=36x^2-25$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(6x+5)(6x-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}36x^2-30x+30x-25 \xlongequal{ } \\[1 em] & \xlongequal{ }36x^2 -\cancel{30x}+ \cancel{30x}-25 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}36x^2-25\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{6x+5}\right) $ by each term in $ \left( 6x-5\right) $. $$ \left( \color{blue}{6x+5}\right) \cdot \left( 6x-5\right) = 36x^2 -\cancel{30x}+ \cancel{30x}-25 $$ |
| ② | Combine like terms: $$ 36x^2 \, \color{blue}{ -\cancel{30x}} \,+ \, \color{blue}{ \cancel{30x}} \,-25 = 36x^2-25 $$ |
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