SOLUTION: Please help. This is from a worksheet and we have no textbook to help us. Simplify. Assume that no denominator equals 0. 8y^3+27/2xy-10y+3x-15 I must show my work and I don't

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help. This is from a worksheet and we have no textbook to help us. Simplify. Assume that no denominator equals 0. 8y^3+27/2xy-10y+3x-15 I must show my work and I don't       Log On


   

Question 165732: Please help. This is from a worksheet and we have no textbook to help us.
Simplify. Assume that no denominator equals 0.
8y^3+27/2xy-10y+3x-15
I must show my work and I don't understand how to do it.
Thanks.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%288y%5E3%2B27%29%2F%282xy-10y%2B3x-15%29 Start with the given expression


%28%282y%2B3%29%284y%5E2-6y%2B9%29%29%2F%282xy-10y%2B3x-15%29 Factor the numerator. Note: use the Sum of Cubes formula to factor.


%28%282y%2B3%29%284y%5E2-6y%2B9%29%29%2F%28%282y%2B3%29%28x-5%29%29 Factor the denominator.


Highlight the common terms.


%28cross%28%282y%2B3%29%29%284y%5E2-6y%2B9%29%29%2F%28cross%28%282y%2B3%29%29%28x-5%29%29 Cancel out the common terms.


%284y%5E2-6y%2B9%29%2F%28x-5%29 Simplify


So %288y%5E3%2B27%29%2F%282xy-10y%2B3x-15%29 simplifies to %284y%5E2-6y%2B9%29%2F%28x-5%29