Question
Answer
$$2x^3y^2x^2y^3-6y^2-7x^2y^3-4x^3y^2+5y^2=2x^5y^5-4x^3y^2-7x^2y^3-y^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2x^3y^2x^2y^3-6y^2-7x^2y^3-4x^3y^2+5y^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2x^5y^5-6y^2-7x^2y^3-4x^3y^2+5y^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2x^5y^5-4x^3y^2-7x^2y^3-y^2\end{aligned} $$ | |
| ① | $$ 2 x^3 y^2 x^2 y^3 = 2 x^{3 + 2} y^{2 + 3} = 2 x^5 y^5 $$ |
| ② | Combine like terms: $$ 2x^5y^5 \color{blue}{-6y^2} -7x^2y^3-4x^3y^2+ \color{blue}{5y^2} = 2x^5y^5-4x^3y^2-7x^2y^3 \color{blue}{-y^2} $$ |
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