Question
Answer
$$15x^5-8x^3-(4x^3+x^2)=15x^5-12x^3-x^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}15x^5-8x^3-(4x^3+x^2)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}15x^5-8x^3-4x^3-x^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}15x^5-12x^3-x^2\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 4x^3+x^2 \right) = -4x^3-x^2 $$ |
| ② | Combine like terms: $$ 15x^5 \color{blue}{-8x^3} \color{blue}{-4x^3} -x^2 = 15x^5 \color{blue}{-12x^3} -x^2 $$ |
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