Question
Answer
$$5x^2+2x^2+6x-4-(3x^3+x^2+4x-7)=-3x^3+6x^2+2x+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}5x^2+2x^2+6x-4-(3x^3+x^2+4x-7)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}7x^2+6x-4-(3x^3+x^2+4x-7) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}7x^2+6x-4-3x^3-x^2-4x+7 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-3x^3+6x^2+2x+3\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{5x^2} + \color{blue}{2x^2} +6x-4 = \color{blue}{7x^2} +6x-4 $$ |
| ② | Remove the parentheses by changing the sign of each term within them. $$ - \left( 3x^3+x^2+4x-7 \right) = -3x^3-x^2-4x+7 $$ |
| ③ | Combine like terms: $$ \color{blue}{7x^2} + \color{red}{6x} \color{green}{-4} -3x^3 \color{blue}{-x^2} \color{red}{-4x} + \color{green}{7} = -3x^3+ \color{blue}{6x^2} + \color{red}{2x} + \color{green}{3} $$ |
This page was created using
Simplify polynomials calculator