Question
Answer
$$3x^3-5x^3-x(2x^2+4x)=-4x^3-4x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3x^3-5x^3-x(2x^2+4x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2x^3-x(2x^2+4x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2x^3-(2x^3+4x^2) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-2x^3-2x^3-4x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-4x^3-4x^2\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{3x^3} \color{blue}{-5x^3} = \color{blue}{-2x^3} $$ |
| ② | Multiply $ \color{blue}{x} $ by $ \left( 2x^2+4x\right) $ $$ \color{blue}{x} \cdot \left( 2x^2+4x\right) = 2x^3+4x^2 $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left( 2x^3+4x^2 \right) = -2x^3-4x^2 $$ |
| ④ | Combine like terms: $$ \color{blue}{-2x^3} \color{blue}{-2x^3} -4x^2 = \color{blue}{-4x^3} -4x^2 $$ |
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