Question
Answer
$$(-5g+11)(-5g-11)=25g^2-121$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(-5g+11)(-5g-11)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25g^2+55g-55g-121 \xlongequal{ } \\[1 em] & \xlongequal{ }25g^2+ \cancel{55g} -\cancel{55g}-121 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}25g^2-121\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{-5g+11}\right) $ by each term in $ \left( -5g-11\right) $. $$ \left( \color{blue}{-5g+11}\right) \cdot \left( -5g-11\right) = 25g^2+ \cancel{55g} -\cancel{55g}-121 $$ |
| ② | Combine like terms: $$ 25g^2+ \, \color{blue}{ \cancel{55g}} \, \, \color{blue}{ -\cancel{55g}} \,-121 = 25g^2-121 $$ |
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