Subtract the polynomials. Assume all variable exponents represent whole numbers.
-$$\left( 5 x ^ { 4 } y ^ { 2 } + 7 x ^ { 3 } y + 6 y \right) - \left( 3 x ^ { 4 } y ^ { 2 } + 10 x ^ { 3 } y + 11 y + 9 x \right)$$
A) $2 x ^ { 4 } y ^ { 2 } - 3 x ^ { 3 } y - 5 y + 9 x$
B) $8 x ^ { 4 } y ^ { 2 } + 17 x ^ { 3 } y + 17 y + 9 x$
C) $2 x ^ { 4 } y ^ { 2 } + 3 x ^ { 3 } y - 5 y - 9 x$
D) $2 x ^ { 4 } y ^ { 2 } - 3 x ^ { 3 } y - 5 y - 9 x$

Question

Quizplus · Accepted Answer

Subtracting the polynomials involves subtracting each corresponding term in the second polynomial from the first. This results in $2x^4y^2$ (from $5x^4y^2 - 3x^4y^2$), $-3x^3y$ (from $7x^3y - 10x^3y$), $-5y$ (from $6y - 11y$), and $-9x$ (since there is no $x$ term in the first polynomial to subtract from).

Subtract the Polynomials (5x4y2+7x3y+6y)−(3x4y2+10x3y+11y+9x)\left( 5 x ^ { 4 } y ^ { 2 } + 7 x ^ { 3 } y + 6 y \right) - \left( 3 x ^ { 4 } y ^ { 2 } + 10 x ^ { 3 } y + 11 y + 9 x \right)(5x4y2+7x3y+6y)−(3x4y2+10x3y+11y+9x)

Subtract the Polynomials $\left( 5 x ^ { 4 } y ^ { 2 } + 7 x ^ { 3 } y + 6 y \right) - \left( 3 x ^ { 4 } y ^ { 2 } + 10 x ^ { 3 } y + 11 y + 9 x \right)$