Question
Answer
$$(30-2x)\cdot(25-2x)x=4x^3-110x^2+750x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(30-2x)\cdot(25-2x)x& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(750-60x-50x+4x^2)x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}(4x^2-110x+750)x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}4x^3-110x^2+750x\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{30-2x}\right) $ by each term in $ \left( 25-2x\right) $. $$ \left( \color{blue}{30-2x}\right) \cdot \left( 25-2x\right) = 750-60x-50x+4x^2 $$ |
| ② | Combine like terms: $$ 750 \color{blue}{-60x} \color{blue}{-50x} +4x^2 = 4x^2 \color{blue}{-110x} +750 $$ |
| ③ | $$ \left( \color{blue}{4x^2-110x+750}\right) \cdot x = 4x^3-110x^2+750x $$ |
This page was created using
Simplify polynomials calculator