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xy-5x+7y+10
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xy-5x+7y+10
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-2x-3\left(-y\right)+12-2-3x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Use the distributive property to multiply -3 by -y-4.
-2x+3y+12-2-3x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Multiply -3 and -1 to get 3.
-2x+3y+10-3x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Subtract 2 from 12 to get 10.
-2x+3y+10-3x\left(-2y+1\right)-\left(4\left(-y\right)-5\left(-y\right)x\right)
Use the distributive property to multiply -y by 4-5x.
-2x+3y+10-3x\left(-2y+1\right)-\left(4\left(-y\right)+5yx\right)
Multiply -5 and -1 to get 5.
-2x+3y+10-3x\left(-2y+1\right)-4\left(-y\right)-5yx
To find the opposite of 4\left(-y\right)+5yx, find the opposite of each term.
-2x+3y+10-3x\left(-2y+1\right)+4y-5yx
Multiply -4 and -1 to get 4.
-2x+3y+10+6xy-3x+4y-5yx
Use the distributive property to multiply -3x by -2y+1.
-5x+3y+10+6xy+4y-5yx
Combine -2x and -3x to get -5x.
-5x+7y+10+6xy-5yx
Combine 3y and 4y to get 7y.
-5x+7y+10+xy
Combine 6xy and -5yx to get xy.
-2x-3\left(-y\right)+12-2-3x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Use the distributive property to multiply -3 by -y-4.
-2x+3y+12-2-3x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Multiply -3 and -1 to get 3.
-2x+3y+10-3x\left(-2y+1\right)-\left(-y\right)\left(4-5x\right)
Subtract 2 from 12 to get 10.
-2x+3y+10-3x\left(-2y+1\right)-\left(4\left(-y\right)-5\left(-y\right)x\right)
Use the distributive property to multiply -y by 4-5x.
-2x+3y+10-3x\left(-2y+1\right)-\left(4\left(-y\right)+5yx\right)
Multiply -5 and -1 to get 5.
-2x+3y+10-3x\left(-2y+1\right)-4\left(-y\right)-5yx
To find the opposite of 4\left(-y\right)+5yx, find the opposite of each term.
-2x+3y+10-3x\left(-2y+1\right)+4y-5yx
Multiply -4 and -1 to get 4.
-2x+3y+10+6xy-3x+4y-5yx
Use the distributive property to multiply -3x by -2y+1.
-5x+3y+10+6xy+4y-5yx
Combine -2x and -3x to get -5x.
-5x+7y+10+6xy-5yx
Combine 3y and 4y to get 7y.
-5x+7y+10+xy
Combine 6xy and -5yx to get xy.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}