SOLUTION: How do I add this fraction? y / (x^2 – xy) - x / (y^2 – xy)

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Question 308675: How do I add this fraction?
y / (x^2 – xy) - x / (y^2 – xy)

Found 3 solutions by rapaljer, Fombitz, CharlesG2:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Did you mean to "subtract"???
First factor the denominators.
Second find the LCD.
Third make each fraction to have a denominator equal to the LCD.
Then, add or subtract the numerators and place over the LCD.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You need a common denominator.
x%5E2-xy=x%28x-y%29
y%5E2-xy=y%28y-x%29=-y%28x-y%29
A common denominator is xy%28x-y%29
Multiply the first term by y%2Fy and the second term by x%2Fx.
y%2F%28x%5E2-xy%29-x+%2F%28y%5E2-xy%29=y%2F%28x%28x-y%29%29-x%2F%28-y%28x-y%29%29+

y%2F%28x%5E2-xy%29-x+%2F%28y%5E2-xy%29=%28y%5E2%2Bx%5E2%29%2F%28xy%28x-y%29%29+

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
How do I add this fraction?
y / (x^2 – xy) - x / (y^2 – xy)
+y%2F%28x%5E2+-+xy%29+-+x%2F%28y%5E2+-+xy%29+
factor denominators, you need common denominators
x^2 - xy = x(x - y) --> this fraction multiply by (-y/-y)
y^2 - xy = -y(-y + x) = -y(x - y) --> this fraction multiply by (x/x)
+%28-y%5E2%29%2F%28-xy%28x+-+y%29%29+-+%28x%5E2%29%2F%28-xy%28x+-+y%29%29+
simplify
+%28-x%5E2+-+y%5E2%29%2F%28-xy%28x+-+y%29%29+
+%28-1%29%28x%5E2+%2B+y%5E2%29%2F%28%28-1%29%28xy%28x+-+y%29%29%29+
+%28x%5E2+%2B+y%5E2%29%2F%28xy%28x+-+y%29%29+