Question
Answer
$$(3x-5z)(3x+5z)=9x^2-25z^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(3x-5z)(3x+5z)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}9x^2+15xz-15xz-25z^2 \xlongequal{ } \\[1 em] & \xlongequal{ }9x^2+ \cancel{15xz} -\cancel{15xz}-25z^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9x^2-25z^2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{3x-5z}\right) $ by each term in $ \left( 3x+5z\right) $. $$ \left( \color{blue}{3x-5z}\right) \cdot \left( 3x+5z\right) = 9x^2+ \cancel{15xz} -\cancel{15xz}-25z^2 $$ |
| ② | Combine like terms: $$ 9x^2+ \, \color{blue}{ \cancel{15xz}} \, \, \color{blue}{ -\cancel{15xz}} \,-25z^2 = 9x^2-25z^2 $$ |
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