Question

correct position in the answer box. Release your mouse button when the item is plethe item to the trashcan. Click the trashcan to clear all your answers,Divide the following polynomial, then place the answer in the proper location on thedescending powers of X(x+y)+ (x - y)2X12345678910

Answer 1

We are asked to do the following division of polynomials:

`x^3+y^3,x-y`

To do this we will rearrange the terms in the following form:

Now, we need to find a term that when multiplied by "x" and subtracted from the dividend we can cancel out the x cubed, that term is x squared, therefore, we get:

Now we add like terms and we get:

Now, we need to find a term that we can use to cancel out the x^2y. That term is "xy". Using the same procedure as before we get:

Now, we multiply by a term that cancels out the "y" cubed. That term is y^2. Using the same procedure we get:

Therefore, we have that the quotient is:

`(2y^3)/(x-y)+x^2+xy+y^2`