Evaluate
4+7y-7x
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4+7y-7x
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x^{2}-2xy-4x+y^{2}+4y+4-\left(x-y\right)\left(x-y+3\right)
Square x-y-2.
x^{2}-2xy-4x+y^{2}+4y+4-\left(x^{2}-2xy+3x+y^{2}-3y\right)
Use the distributive property to multiply x-y by x-y+3 and combine like terms.
x^{2}-2xy-4x+y^{2}+4y+4-x^{2}+2xy-3x-y^{2}+3y
To find the opposite of x^{2}-2xy+3x+y^{2}-3y, find the opposite of each term.
-2xy-4x+y^{2}+4y+4+2xy-3x-y^{2}+3y
Combine x^{2} and -x^{2} to get 0.
-4x+y^{2}+4y+4-3x-y^{2}+3y
Combine -2xy and 2xy to get 0.
-7x+y^{2}+4y+4-y^{2}+3y
Combine -4x and -3x to get -7x.
-7x+4y+4+3y
Combine y^{2} and -y^{2} to get 0.
-7x+7y+4
Combine 4y and 3y to get 7y.
x^{2}-2xy-4x+y^{2}+4y+4-\left(x-y\right)\left(x-y+3\right)
Square x-y-2.
x^{2}-2xy-4x+y^{2}+4y+4-\left(x^{2}-2xy+3x+y^{2}-3y\right)
Use the distributive property to multiply x-y by x-y+3 and combine like terms.
x^{2}-2xy-4x+y^{2}+4y+4-x^{2}+2xy-3x-y^{2}+3y
To find the opposite of x^{2}-2xy+3x+y^{2}-3y, find the opposite of each term.
-2xy-4x+y^{2}+4y+4+2xy-3x-y^{2}+3y
Combine x^{2} and -x^{2} to get 0.
-4x+y^{2}+4y+4-3x-y^{2}+3y
Combine -2xy and 2xy to get 0.
-7x+y^{2}+4y+4-y^{2}+3y
Combine -4x and -3x to get -7x.
-7x+4y+4+3y
Combine y^{2} and -y^{2} to get 0.
-7x+7y+4
Combine 4y and 3y to get 7y.
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}