Add.
-$\left(5 x^{2}-2 x y+y^{2}\right)+\left(5 x^{2}-2 x y-y^{2}\right)+\left(x^{2}+x y-y^{2}\right)$
A) $10 x^{2}-4 x y-y^{2}$
B) $9 x^{2}-5 x y-y^{2}$
C) $11 x^{2}-3 x y+y^{2}$
D) $11 x^{2}-3 x y-y^{2}$

Question

Quizplus · Accepted Answer

To find the sum, add the coefficients of like terms: $5x^2 + 5x^2 + x^2 = 11x^2$, $-2xy - 2xy + xy = -3xy$, and $y^2 - y^2 - y^2 = -y^2$. This results in $11x^2 - 3xy - y^2$.

Add - (5x2−2xy+y2)+(5x2−2xy−y2)+(x2+xy−y2)\left(5 x^{2}-2 x y+y^{2}\right)+\left(5 x^{2}-2 x y-y^{2}\right)+\left(x^{2}+x y-y^{2}\right)(5x2−2xy+y2)+(5x2−2xy−y2)+(x2+xy−y2) A) 10x2−4xy−y210 x^{2}-4 x y-y^{2}10x2−4xy−y2

Add
- $\left(5 x^{2}-2 x y+y^{2}\right)+\left(5 x^{2}-2 x y-y^{2}\right)+\left(x^{2}+x y-y^{2}\right)$ A) $10 x^{2}-4 x y-y^{2}$