Question
Answer
$$(5d-3b)^2=9b^2-30bd+25d^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5d-3b)^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}25d^2-30bd+9b^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}9b^2-30bd+25d^2\end{aligned} $$ | |
| ① | Find $ \left(5d-3b\right)^2 $ using formula. $$ (A - B)^2 = \color{blue}{A^2} - 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ 5d } $ and $ B = \color{red}{ 3b }$. $$ \begin{aligned}\left(5d-3b\right)^2 = \color{blue}{\left( 5d \right)^2} -2 \cdot 5d \cdot 3b + \color{red}{\left( 3b \right)^2} = 25d^2-30bd+9b^2\end{aligned} $$ |
| ② | Combine like terms: $$ 9b^2-30bd+25d^2 = 9b^2-30bd+25d^2 $$ |
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