Evaluate
\frac{2y^{2}}{\left(x-y\right)\left(3x+y\right)}
Factor
\frac{2y^{2}}{\left(x-y\right)\left(3x+y\right)}
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\frac{2y}{x-y}-\frac{6xy}{\left(x-y\right)\left(3x+y\right)}
Factor 3x^{2}-2xy-y^{2}.
\frac{2y\left(3x+y\right)}{\left(x-y\right)\left(3x+y\right)}-\frac{6xy}{\left(x-y\right)\left(3x+y\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x-y and \left(x-y\right)\left(3x+y\right) is \left(x-y\right)\left(3x+y\right). Multiply \frac{2y}{x-y} times \frac{3x+y}{3x+y}.
\frac{2y\left(3x+y\right)-6xy}{\left(x-y\right)\left(3x+y\right)}
Since \frac{2y\left(3x+y\right)}{\left(x-y\right)\left(3x+y\right)} and \frac{6xy}{\left(x-y\right)\left(3x+y\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{6yx+2y^{2}-6xy}{\left(x-y\right)\left(3x+y\right)}
Do the multiplications in 2y\left(3x+y\right)-6xy.
\frac{2y^{2}}{\left(x-y\right)\left(3x+y\right)}
Combine like terms in 6yx+2y^{2}-6xy.
\frac{2y^{2}}{3x^{2}-2xy-y^{2}}
Expand \left(x-y\right)\left(3x+y\right).
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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