Evaluate
3\left(y-x\right)
Expand
3y-3x
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xy-2x+y-2-\left(x-2\right)\left(y+1\right)
Apply the distributive property by multiplying each term of x+1 by each term of y-2.
xy-2x+y-2-\left(xy+x-2y-2\right)
Apply the distributive property by multiplying each term of x-2 by each term of y+1.
xy-2x+y-2-xy-x-\left(-2y\right)-\left(-2\right)
To find the opposite of xy+x-2y-2, find the opposite of each term.
xy-2x+y-2-xy-x+2y-\left(-2\right)
The opposite of -2y is 2y.
xy-2x+y-2-xy-x+2y+2
The opposite of -2 is 2.
-2x+y-2-x+2y+2
Combine xy and -xy to get 0.
-3x+y-2+2y+2
Combine -2x and -x to get -3x.
-3x+3y-2+2
Combine y and 2y to get 3y.
-3x+3y
Add -2 and 2 to get 0.
xy-2x+y-2-\left(x-2\right)\left(y+1\right)
Apply the distributive property by multiplying each term of x+1 by each term of y-2.
xy-2x+y-2-\left(xy+x-2y-2\right)
Apply the distributive property by multiplying each term of x-2 by each term of y+1.
xy-2x+y-2-xy-x-\left(-2y\right)-\left(-2\right)
To find the opposite of xy+x-2y-2, find the opposite of each term.
xy-2x+y-2-xy-x+2y-\left(-2\right)
The opposite of -2y is 2y.
xy-2x+y-2-xy-x+2y+2
The opposite of -2 is 2.
-2x+y-2-x+2y+2
Combine xy and -xy to get 0.
-3x+y-2+2y+2
Combine -2x and -x to get -3x.
-3x+3y-2+2
Combine y and 2y to get 3y.
-3x+3y
Add -2 and 2 to get 0.
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}