Can anyone help me with algebraic fractions?
What is the problem?
6/y^2-xy - 6/x^2-xy
what sld i do with 6/y^2-xy - 6/x^2-xy frnd
its supposed to be solved and simplified... but i keep getting it wrong because my answer is 6x^2-6y^2-12xy/xy(-y^2-x^2)
\[6/(y^2-x y)-6/(x^2-x y)\]
\[6(x^2-x y)/(y^2-x y)-6(y^2-x y)/(x^2-x y)\]
\[6(x^2-x y)-(6(y^2-x y))/(y^2-x y)(x^2-x y)\]
\[\frac{ (6x^2-6x y-6y^2+6x y)) }{ (y^2-x y)(x^2-x y) }\]
\[6x^2-6y^2 = 6(x^2-y^2)\]
\[6(x^2-y^2) = 6 (x-y)(x+y)\]
\[\frac{ 6 (x-y)(x+y)}{ y(y-x)x(x-y) }\]
Cancel the (x-y) and Bob's your uncle
thank you so much!!
\[\frac{6}{y^2 - xy} - \frac{6}{x^2 - xy}\] \[\frac{6}{y(y- x)} - \frac{6}{x( x- y)}\] \[\frac{6}{y(y- x)} + \frac{6}{x(y-x)}\] \[\frac{6}{(y- x)}\left(\frac{1}{x} + \frac{1}{y}\right)\] \[\frac{6}{(y- x)}\left(\frac{y}{xy} + \frac{x}{xy}\right)\] \[\frac{6}{(y- x)}\left(\frac{y + x}{xy} \right)\] \[\frac{6(x + y)}{xy(y - x)}\]
No cancelling necessary. Cancelling in this case implies that you computed unnecessary steps.
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