SOLUTION: If x +y = [(x+y)^5] / [(x+z)^7] where x is not equal to -z, and x is not equal to -y, Then [(x+z)^7] / [(x+y)^2] is equal to what?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: If x +y = [(x+y)^5] / [(x+z)^7] where x is not equal to -z, and x is not equal to -y, Then [(x+z)^7] / [(x+y)^2] is equal to what?      Log On


   



Question 1132402: If x +y = [(x+y)^5] / [(x+z)^7] where x is not equal to -z, and x is not equal to -y,
Then [(x+z)^7] / [(x+y)^2] is equal to what?

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
If  x + y = %28x%2By%29%5E5+%2F+%28x%2Bz%29%5E7,  then  (canceling the factors (x+y) in both sides)


1 = %28x%2By%29%5E4+%2F+%28x%2Bz%29%5E7     and, hence,


%28x%2Bz%29%5E7+%2F+%28x%2By%29%5E2 = %28x%2By%29%5E2.       ANSWER