Evaluate
3\left(x-2y\right)
Expand
3x-6y
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x^{2}-2xy+3x-6y-x\left(x-2y\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-2y.
x^{2}-2xy+3x-6y-\left(x^{2}-2xy\right)
Use the distributive property to multiply x by x-2y.
x^{2}-2xy+3x-6y-x^{2}-\left(-2xy\right)
To find the opposite of x^{2}-2xy, find the opposite of each term.
x^{2}-2xy+3x-6y-x^{2}+2xy
The opposite of -2xy is 2xy.
-2xy+3x-6y+2xy
Combine x^{2} and -x^{2} to get 0.
3x-6y
Combine -2xy and 2xy to get 0.
x^{2}-2xy+3x-6y-x\left(x-2y\right)
Apply the distributive property by multiplying each term of x+3 by each term of x-2y.
x^{2}-2xy+3x-6y-\left(x^{2}-2xy\right)
Use the distributive property to multiply x by x-2y.
x^{2}-2xy+3x-6y-x^{2}-\left(-2xy\right)
To find the opposite of x^{2}-2xy, find the opposite of each term.
x^{2}-2xy+3x-6y-x^{2}+2xy
The opposite of -2xy is 2xy.
-2xy+3x-6y+2xy
Combine x^{2} and -x^{2} to get 0.
3x-6y
Combine -2xy and 2xy to get 0.
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
Arithmetic
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Matrix
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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}