Question
Answer
$$x(350-0.000325x)^2=122500x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x(350-0.000325x)^2& \xlongequal{ }x(350-0x)^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x(122500+0x+0x^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}122500x+0x^2+0x^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}122500x\end{aligned} $$ | |
| ① | Find $ \left(350+0x\right)^2 $ using formula. $$ (A + B)^2 = \color{blue}{A^2} + 2 \cdot A \cdot B + \color{red}{B^2} $$where $ A = \color{blue}{ 350 } $ and $ B = \color{red}{ 0x }$. $$ \begin{aligned}\left(350+0x\right)^2 = \color{blue}{350^2} +2 \cdot 350 \cdot 0x + \color{red}{\left( 0x \right)^2} = 1225000x0x^2\end{aligned} $$ |
| ② | Multiply $ \color{blue}{x} $ by $ \left( 1225000x0x^2\right) $ $$ \color{blue}{x} \cdot \left( 1225000x0x^2\right) = 122500x0x^20x^3 $$ |
| ③ | Combine like terms: $$ 122500x = 122500x $$ |
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