Question
Answer
$$5x(3x^2+2)-(8x^3+10x)=7x^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x(3x^2+2)-(8x^3+10x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15x^3+10x-(8x^3+10x) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15x^3+10x-8x^3-10x \xlongequal{ } \\[1 em] & \xlongequal{ }15x^3+ \cancel{10x}-8x^3 -\cancel{10x} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}7x^3\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{5x} $ by $ \left( 3x^2+2\right) $ $$ \color{blue}{5x} \cdot \left( 3x^2+2\right) = 15x^3+10x $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 8x^3+10x \right) = -8x^3-10x $$ |
| ③ | Combine like terms: $$ \color{blue}{15x^3} + \, \color{red}{ \cancel{10x}} \, \color{blue}{-8x^3} \, \color{red}{ -\cancel{10x}} \, = \color{blue}{7x^3} $$ |
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