SOLUTION: 2(x-1)^/y divided by 2/(x-1)y^4 = 2(x-1)^2/y multiplied by (x-1)y^4/2 = (x-1^2(x-1)y^3 ????

Algebra ->  Rational-functions -> SOLUTION: 2(x-1)^/y divided by 2/(x-1)y^4 = 2(x-1)^2/y multiplied by (x-1)y^4/2 = (x-1^2(x-1)y^3 ????      Log On


   



Question 319697: 2(x-1)^/y divided by 2/(x-1)y^4
= 2(x-1)^2/y multiplied by (x-1)y^4/2
= (x-1^2(x-1)y^3 ????

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the expression %28%282%28x-1%29%5E2%29%2Fy%29%2F%282%2F%28%28x-1%29y%5E4%29%29 ????


%28%282%28x-1%29%5E2%29%2Fy%29%2F%282%2F%28%28x-1%29y%5E4%29%29 Start with the given expression.


%28%282%28x-1%29%5E2%29%2Fy%29%2A%28%28%28x-1%29y%5E4%29%2F2%29 Multiply the first fraction by the reciprocal of the second fraction.


%282y%5E4%2A%28x-1%29%5E2%28x-1%29%29%2F%282y%29 Combine the fractions.


%282y%2Ay%5E3%2A%28x-1%29%5E2%28x-1%29%29%2F%282y%29 Factor 2y%5E4 to get 2y%2Ay%5E3


%28highlight%282y%29%2Ay%5E3%2A%28x-1%29%5E2%28x-1%29%29%2Fhighlight%282y%29 Highlight the common terms.


%28cross%282y%29%2Ay%5E3%2A%28x-1%29%5E2%28x-1%29%29%2Fcross%282y%29 Cancel out the common terms.


y%5E3%2A%28x-1%29%5E2%28x-1%29 Simplify


y%5E3%2A%28x-1%29%5E3 Multiply %28x-1%29%5E2 and x-1 to get %28x-1%29%5E3


So %28%282%28x-1%29%5E2%29%2Fy%29%2F%282%2F%28%28x-1%29y%5E4%29%29=y%5E3%2A%28x-1%29%5E3