SOLUTION: Multiply ( 1/a^2 - 1/b^2 ) ( 2ab / a-b)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply ( 1/a^2 - 1/b^2 ) ( 2ab / a-b)       Log On


   

Question 252901: Multiply ( 1/a^2 - 1/b^2 ) ( 2ab / a-b)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the original question:
%28%281%2Fa%5E2%29+-+%281%2Fb%5E2%29+%29+%2A+%28+2ab+%2F+%28a-b%29%29
--
step 1 subtract the fractions in the first (_). We get
%28b%5E2-a%5E2%29%2F%28a%5E2b%5E2%29
--
step 2: factor the numerator to (a+b)(a-b). We get
%28+a%2Bb%29%28a-b%29%2Fa%5E2b%5E2 * %28+2ab+%2F+%28a-b%29%29
--
step 3: cancel like terms from any top and any bottom. Looks like this when done:
%28a%2Bb%29%2Fab+%2A+2%2F1 = 2(a+b)/ab