Add.
-$\left(x^{3} y^{2}+4 x^{2} y^{3}+3 x y+3\right)+\left(x^{2} y^{3}+4 x^{3} y^{2}+3 x y+2\right)$
A) $5 x^{3} y^{2}+5 x^{2} y^{3}+6 x y+5$
B) $3 x^{3} y^{2}+5 x^{2} y^{3}+6 x y+5$
C) $2 x^{3} y^{2}+8 x^{2} y^{3}+6 x y+5$
D) $5 \mathrm{x}^{3} \mathrm{y}^{2}+5 \mathrm{x}^{2} \mathrm{y}^{3}+3 \mathrm{xy}+5$

Question

Quizplus · Accepted Answer

When adding the two polynomials, coefficients of like terms are added together: $x^{3}y^{2} + 4x^{3}y^{2} = 5x^{3}y^{2}$, $4x^{2}y^{3} + x^{2}y^{3} = 5x^{2}y^{3}$, $3xy + 3xy = 6xy$, and $3 + 2 = 5$, resulting in $5x^{3}y^{2} + 5x^{2}y^{3} + 6xy + 5$.

Add - (x3y2+4x2y3+3xy+3)+(x2y3+4x3y2+3xy+2)\left(x^{3} y^{2}+4 x^{2} y^{3}+3 x y+3\right)+\left(x^{2} y^{3}+4 x^{3} y^{2}+3 x y+2\right)(x3y2+4x2y3+3xy+3)+(x2y3+4x3y2+3xy+2)

Add
- $\left(x^{3} y^{2}+4 x^{2} y^{3}+3 x y+3\right)+\left(x^{2} y^{3}+4 x^{3} y^{2}+3 x y+2\right)$