Question
Answer
$$2x^2-5x^3-x(4x^3+x)=-4x^4-5x^3+x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x^2-5x^3-x(4x^3+x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x^2-5x^3-(4x^4+x^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x^2-5x^3-4x^4-x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-4x^4-5x^3+x^2\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{x} $ by $ \left( 4x^3+x\right) $ $$ \color{blue}{x} \cdot \left( 4x^3+x\right) = 4x^4+x^2 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4x^4+x^2 \right) = -4x^4-x^2 $$ |
| ③ | Combine like terms: $$ \color{blue}{2x^2} -5x^3-4x^4 \color{blue}{-x^2} = -4x^4-5x^3+ \color{blue}{x^2} $$ |
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