Evaluate
6y^{2}-4x^{2}
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6y^{2}-4x^{2}
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-2x^{2}\times 2+\frac{-9x^{2}y^{3}}{3x^{2}y}+\left(-3y\right)^{2}
Multiply x and x to get x^{2}.
-4x^{2}+\frac{-9x^{2}y^{3}}{3x^{2}y}+\left(-3y\right)^{2}
Multiply -2 and 2 to get -4.
-4x^{2}-3y^{2}+\left(-3y\right)^{2}
Cancel out 3yx^{2} in both numerator and denominator.
-4x^{2}-3y^{2}+\left(-3\right)^{2}y^{2}
Expand \left(-3y\right)^{2}.
-4x^{2}-3y^{2}+9y^{2}
Calculate -3 to the power of 2 and get 9.
-4x^{2}+6y^{2}
Combine -3y^{2} and 9y^{2} to get 6y^{2}.
-2x^{2}\times 2+\frac{-9x^{2}y^{3}}{3x^{2}y}+\left(-3y\right)^{2}
Multiply x and x to get x^{2}.
-4x^{2}+\frac{-9x^{2}y^{3}}{3x^{2}y}+\left(-3y\right)^{2}
Multiply -2 and 2 to get -4.
-4x^{2}-3y^{2}+\left(-3y\right)^{2}
Cancel out 3yx^{2} in both numerator and denominator.
-4x^{2}-3y^{2}+\left(-3\right)^{2}y^{2}
Expand \left(-3y\right)^{2}.
-4x^{2}-3y^{2}+9y^{2}
Calculate -3 to the power of 2 and get 9.
-4x^{2}+6y^{2}
Combine -3y^{2} and 9y^{2} to get 6y^{2}.
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}