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x^{2}-y
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x^{2}-y
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4x^{2}-\frac{3}{2}xy-3\left(x^{2}-\frac{1}{2}xy+\frac{1}{3}y\right)
Use the distributive property to multiply \frac{1}{2} by 8x^{2}-3xy.
4x^{2}-\frac{3}{2}xy-3x^{2}+\frac{3}{2}xy-y
Use the distributive property to multiply -3 by x^{2}-\frac{1}{2}xy+\frac{1}{3}y.
x^{2}-\frac{3}{2}xy+\frac{3}{2}xy-y
Combine 4x^{2} and -3x^{2} to get x^{2}.
x^{2}-y
Combine -\frac{3}{2}xy and \frac{3}{2}xy to get 0.
4x^{2}-\frac{3}{2}xy-3\left(x^{2}-\frac{1}{2}xy+\frac{1}{3}y\right)
Use the distributive property to multiply \frac{1}{2} by 8x^{2}-3xy.
4x^{2}-\frac{3}{2}xy-3x^{2}+\frac{3}{2}xy-y
Use the distributive property to multiply -3 by x^{2}-\frac{1}{2}xy+\frac{1}{3}y.
x^{2}-\frac{3}{2}xy+\frac{3}{2}xy-y
Combine 4x^{2} and -3x^{2} to get x^{2}.
x^{2}-y
Combine -\frac{3}{2}xy and \frac{3}{2}xy to get 0.
Examples
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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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