Question
Answer
$$x^2+x^3-2x^4-(7x+7x^2-7x^3)=-2x^4+8x^3-6x^2-7x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x^2+x^3-2x^4-(7x+7x^2-7x^3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^2+x^3-2x^4-7x-7x^2+7x^3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-2x^4+8x^3-6x^2-7x\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 7x+7x^2-7x^3 \right) = -7x-7x^2+7x^3 $$ |
| ② | Combine like terms: $$ \color{blue}{x^2} + \color{red}{x^3} -2x^4-7x \color{blue}{-7x^2} + \color{red}{7x^3} = -2x^4+ \color{red}{8x^3} \color{blue}{-6x^2} -7x $$ |
This page was created using
Simplify polynomials calculator