Find the quotient of quantity of 8 times x to the 2nd power times y plus 12 times x times y to the 3rd power minus 16 times x times y all over 4 times x times y.

4x + 8y2 − 12

12x2 − 16x + 20

2x3y2 + 3x2y4 − 4x2y2

2x + 3y2 − 4

Question

Find the quotient of quantity of 8 times x to the 2nd power times y plus 12 times x times y to the 3rd power minus 16 times x times y all over 4 times x times y.

4x + 8y2 − 12

12x2 − 16x + 20

2x3y2 + 3x2y4 − 4x2y2

2x + 3y2 − 4

gw2011 · Answer

The answer is: 2x+3y^2-4 which is the last choice given

The simplest way of solving this problem is by writing it as:

8x^2y/4xy + 12xy^3/4xy - 16xy/4xy  Divide each part and you get:

8x^2y/4xy = 2x
12xy^3/4xy = 3y^2
-16xy/4xy = -4