SOLUTION: It says "Find each quotient. Assume that no denominator has a value of 0." y2-36 y+6 -----/---- (/ means divided by) y2-49 y+7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: It says "Find each quotient. Assume that no denominator has a value of 0." y2-36 y+6 -----/---- (/ means divided by) y2-49 y+7      Log On


   

Question 196844: It says "Find each quotient. Assume that no denominator has a value of 0."
y2-36 y+6
-----/---- (/ means divided by)
y2-49 y+7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the expression %28%28y%5E2-36%29%2F%28y%5E2-49%29%29%2F%28%28y%2B6%29%2F%28y%2B7%29%29 ??? If it is, then...




%28%28y%5E2-36%29%2F%28y%5E2-49%29%29%2F%28%28y%2B6%29%2F%28y%2B7%29%29 Start with the given expression.


%28%28y%5E2-36%29%2F%28y%5E2-49%29%29%28%28y%2B7%29%2F%28y%2B6%29%29 Multiply the first fraction %28y%5E2-36%29%2F%28y%5E2-49%29 by the reciprocal of the second fraction %28y%2B6%29%2F%28y%2B7%29.


%28%28%28y-6%29%28y%2B6%29%29%2F%28y%5E2-49%29%29%28%28y%2B7%29%2F%28y%2B6%29%29 Factor y%5E2-36 to get %28y-6%29%28y%2B6%29.


%28%28%28y-6%29%28y%2B6%29%29%2F%28%28y-7%29%28y%2B7%29%29%29%28%28y%2B7%29%2F%28y%2B6%29%29 Factor y%5E2-49 to get %28y-7%29%28y%2B7%29.


%28%28y-6%29%28y%2B6%29%28y%2B7%29%29%2F%28%28y-7%29%28y%2B7%29%28y%2B6%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28y-6%29%2F%28y-7%29 Simplify.


So %28%28y%5E2-36%29%2F%28y%5E2-49%29%29%2F%28%28y%2B6%29%2F%28y%2B7%29%29 simplifies to %28y-6%29%2F%28y-7%29.


In other words, where y%3C%3E-7, y%3C%3E-6, or y%3C%3E7