Question
Answer
$$x(x-20)(x-35)=x^3-55x^2+700x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x(x-20)(x-35)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(x^2-20x)(x-35) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^3-35x^2-20x^2+700x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}x^3-55x^2+700x\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{x} $ by $ \left( x-20\right) $ $$ \color{blue}{x} \cdot \left( x-20\right) = x^2-20x $$ |
| ② | Multiply each term of $ \left( \color{blue}{x^2-20x}\right) $ by each term in $ \left( x-35\right) $. $$ \left( \color{blue}{x^2-20x}\right) \cdot \left( x-35\right) = x^3-35x^2-20x^2+700x $$ |
| ③ | Combine like terms: $$ x^3 \color{blue}{-35x^2} \color{blue}{-20x^2} +700x = x^3 \color{blue}{-55x^2} +700x $$ |
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