SOLUTION: 8x^2y+3xy-6x-2 divided by 3x^2 I came up with 8y/3+xy-2x-2/3x^2 but the xy part is incorrect and I don't come up with anything different when I re-work it??

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 8x^2y+3xy-6x-2 divided by 3x^2 I came up with 8y/3+xy-2x-2/3x^2 but the xy part is incorrect and I don't come up with anything different when I re-work it??      Log On


   

Question 516891: 8x^2y+3xy-6x-2 divided by 3x^2
I came up with 8y/3+xy-2x-2/3x^2 but the xy part is incorrect and I don't come up with anything different when I re-work it??
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

Not only was the xy part wrong which should have been x%2Fy
but also the 2x part was wrong because it should have been 2%2Fx

 8x^2y+3xy-6x-2 divided by 3x^2

%288x%5E2y%2B3xy-6x-2%29%2F%283x%5E2%29

Write as the sum of four fractions by putting each term in the
numerator over the denominator:

%288x%5E2y%29%2F%283x%5E2%29 + %283xy%29%2F%283x%5E2%29 - 6x%2F%283x%5E2%29 - 2%2F%283x%5E2%29

Cancel the x²'s in the first fraction, leaving 8y%2F3
Cancel the 3's, and subtract the exponents of x in the second fraction, 
leaving y%2Fx
Divide 6 by 3 and subtract exponents of x in the third leaving 2%2Fx
Leave the last fraction as it is:

%288y%29%2F3 + y%2Fx - 2%2Fx%29 - 2%2F%283x%5E2%29

I'm guessing that you missed it because you skipped the intermediate 
step and went immediately to the final answer.

When the larger power is on the bottom, you subtract exponents and place
the result on the bottom, not on the top.

Edwin