SOLUTION: My math book and the algebra app always leave problems unfinished. They say [(a^2-b^2)/(c+d)/(a-b)/(c^2-d^2)]=[(a+b)(c-d)]/(1). I think the answer is (ac-ad+bc-bd). Can you expl

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: My math book and the algebra app always leave problems unfinished. They say [(a^2-b^2)/(c+d)/(a-b)/(c^2-d^2)]=[(a+b)(c-d)]/(1). I think the answer is (ac-ad+bc-bd). Can you expl      Log On


   



Question 1023872: My math book and the algebra app always leave problems unfinished. They say [(a^2-b^2)/(c+d)/(a-b)/(c^2-d^2)]=[(a+b)(c-d)]/(1). I think the answer is (ac-ad+bc-bd). Can you explain why everything leaves the problem unfinished?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
The key thing to understand this is that a%5E2-b%5E2 factors to %28a-b%29%28a%2Bb%29
Once you see this, the a-b factor in both numerator and denominator cancel. Same process for the c-d factor.