SOLUTION: (81b^2)/(4b^2-24b+36)*(4b-12)/(9b)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (81b^2)/(4b^2-24b+36)*(4b-12)/(9b)      Log On


   

Question 678239: (81b^2)/(4b^2-24b+36)*(4b-12)/(9b)
Answer by pmatei(79) About Me  (Show Source):
You can put this solution on YOUR website!
%28%2881b%5E2%29%2F%284b%5E2-24b%2B36%29%29%2A%28%284b-12%29%2F%289b%29%29
Simplify on the diagonal 81b%5E2 with 9b:
%28%289b%29%2F%284b%5E2-24b%2B36%29%29%2A%28%284b-12%29%2F%281%29%29
Factor out a 4 both denominator of first fraction and numerator of second fraction:
%28%289b%29%2F%284%28b%5E2-6b%2B9%29%29%29%2A%28%284%28b-3%29%29%2F%281%29%29
Simplify the 4's that you just factor out:
%289b%2F%28b%5E2-6b%2B9%29%29%2A%28%28b-3%29%2F1%29
Factor the quadratic b%5E2-6b%2B9+=+%28b-3%29%5E2:
%289b%2F%28b-3%29%5E2%29%2A%28%28b-3%29%2F1%29
Simplify %28b-3%29%5E2 with b-3:
%289b%2F%28b-3%29%29%2A%281%2F1%29
Result:
9b%2F%28b-3%29