Perform Operations with Polynomials in Several Variables
-$$\left( 12 x ^ { 4 } y ^ { 2 } - 7 x ^ { 2 } y ^ { 2 } + 5 x y \right) + \left( 11 x ^ { 4 } y ^ { 2 } - 8 x ^ { 2 } y ^ { 2 } + 10 x y \right)$$
A) $23 x ^ { 4 } y ^ { 2 } - 15 x ^ { 2 } y ^ { 2 } + 15 x y$
B) $- 15 x ^ { 4 } y ^ { 2 } + 23 x ^ { 2 } y ^ { 2 } + 15 x y$
C) $23 x ^ { 4 } y ^ { 2 } + 15 x ^ { 2 } y ^ { 2 } + 15 x y$
D) $15 x ^ { 4 } y ^ { 2 } - 23 x ^ { 2 } y ^ { 2 } + 15 x y$

Question

Quizplus · Accepted Answer

To solve, combine like terms: $12x^4y^2 + 11x^4y^2 = 23x^4y^2$, $-7x^2y^2 - 8x^2y^2 = -15x^2y^2$, and $5xy + 10xy = 15xy$.

Perform Operations with Polynomials in Several Variables - (12x4y2−7x2y2+5xy)+(11x4y2−8x2y2+10xy)\left( 12 x ^ { 4 } y ^ { 2 } - 7 x ^ { 2 } y ^ { 2 } + 5 x y \right) + \left( 11 x ^ { 4 } y ^ { 2 } - 8 x ^ { 2 } y ^ { 2 } + 10 x y \right)(12x4y2−7x2y2+5xy)+(11x4y2−8x2y2+10xy)

Perform Operations with Polynomials in Several Variables
- $\left( 12 x ^ { 4 } y ^ { 2 } - 7 x ^ { 2 } y ^ { 2 } + 5 x y \right) + \left( 11 x ^ { 4 } y ^ { 2 } - 8 x ^ { 2 } y ^ { 2 } + 10 x y \right)$