Question

Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of x. Write the quotient and remainder as a sum in this format: . Do not include parentheses in your answer. ( x^3 + y^3) ÷( x- y )

Answer 1

The answer is x²-y² + xy²+x²y/x-y
Solution:
1st column
x²
x x³
-y -x²y

2nd column
x² -y²
x x³ -xy²
-y -x²y y³
Add:
x² -y²
x x³ -xy² remainder: + x²y + xy²
-y -x²y y³

So the answer is

x³+y³ / x-y = x²-y² + xy²+x²y/x-y