Evaluate
\left(x-y\right)\left(\frac{x}{5}+\frac{y}{5}-2\right)
Expand
\frac{x^{2}}{5}-\frac{y^{2}}{5}+2y-2x
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\left(0.2x+0.2y-2\right)\left(x-y\right)
Use the distributive property to multiply 1 by 0.2x+0.2y-2.
0.2x^{2}-0.2xy+0.2yx-0.2y^{2}-2x+2y
Apply the distributive property by multiplying each term of 0.2x+0.2y-2 by each term of x-y.
0.2x^{2}-0.2y^{2}-2x+2y
Combine -0.2xy and 0.2yx to get 0.
\left(0.2x+0.2y-2\right)\left(x-y\right)
Use the distributive property to multiply 1 by 0.2x+0.2y-2.
0.2x^{2}-0.2xy+0.2yx-0.2y^{2}-2x+2y
Apply the distributive property by multiplying each term of 0.2x+0.2y-2 by each term of x-y.
0.2x^{2}-0.2y^{2}-2x+2y
Combine -0.2xy and 0.2yx 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
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y = 3x + 4
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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
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