Evaluate
x\left(4y-3x\right)
Expand
4xy-3x^{2}
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-\frac{1}{3}x^{2}+xy-\frac{2}{3}x^{2}-2xy+2xy-2x^{2}+3xy
To find the opposite of \frac{2}{3}x^{2}+2xy, find the opposite of each term.
-x^{2}+xy-2xy+2xy-2x^{2}+3xy
Combine -\frac{1}{3}x^{2} and -\frac{2}{3}x^{2} to get -x^{2}.
-x^{2}-xy+2xy-2x^{2}+3xy
Combine xy and -2xy to get -xy.
-x^{2}+xy-2x^{2}+3xy
Combine -xy and 2xy to get xy.
-3x^{2}+xy+3xy
Combine -x^{2} and -2x^{2} to get -3x^{2}.
-3x^{2}+4xy
Combine xy and 3xy to get 4xy.
-\frac{1}{3}x^{2}+xy-\frac{2}{3}x^{2}-2xy+2xy-2x^{2}+3xy
To find the opposite of \frac{2}{3}x^{2}+2xy, find the opposite of each term.
-x^{2}+xy-2xy+2xy-2x^{2}+3xy
Combine -\frac{1}{3}x^{2} and -\frac{2}{3}x^{2} to get -x^{2}.
-x^{2}-xy+2xy-2x^{2}+3xy
Combine xy and -2xy to get -xy.
-x^{2}+xy-2x^{2}+3xy
Combine -xy and 2xy to get xy.
-3x^{2}+xy+3xy
Combine -x^{2} and -2x^{2} to get -3x^{2}.
-3x^{2}+4xy
Combine xy and 3xy to get 4xy.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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}