SOLUTION: what is the simplyfied answer of [(8y^3 -27)/(64y^3-1)]/[(4y^2-9)/(16y^2+4y+1)]

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: what is the simplyfied answer of [(8y^3 -27)/(64y^3-1)]/[(4y^2-9)/(16y^2+4y+1)]      Log On


   

Question 57841: what is the simplyfied answer of
[(8y^3 -27)/(64y^3-1)]/[(4y^2-9)/(16y^2+4y+1)]
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Two formulas I'm going to use are:
highlight%28u%5E3-v%5E3=%28u-v%29%28u%5E2%2Buv%2Bv%5E2%29%29
highlight%28a%5E2-b%5E2=%28a%2Bb%29%28a-b%29%29
:
what is the simplyfied answer of
%28%288y%5E3+-27%29%2F%2864y%5E3-1%29%29/%28%284y%5E2-9%29%2F%2816y%5E2%2B4y%2B1%29%29 Flip the second fraction and multiply.
%28%288y%5E3-27%29%2F%2864y%5E3-1%29%29%2A%28%2816y%5E2%2B4y%2B1%29%2F%284y%5E2-9%29%29 Factor using formulas
Cancel matching numerators and denominators:
Multiply what's left:
highlight%28%284y%5E2%2B6y%2B9%29%2F%28%284y-1%29%282y%2B3%29%29%29
Happy Calculating!!!