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-\pi xy
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-\pi xy
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\frac{x^{2}\pi +y^{2}\pi }{2}-\frac{\left(x+y\right)^{2}\pi }{2}
Since \frac{x^{2}\pi }{2} and \frac{y^{2}\pi }{2} have the same denominator, add them by adding their numerators.
\frac{x^{2}\pi +y^{2}\pi -\left(x+y\right)^{2}\pi }{2}
Since \frac{x^{2}\pi +y^{2}\pi }{2} and \frac{\left(x+y\right)^{2}\pi }{2} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}\pi +y^{2}\pi -x^{2}\pi -2xy\pi -y^{2}\pi }{2}
Do the multiplications in x^{2}\pi +y^{2}\pi -\left(x+y\right)^{2}\pi .
\frac{-2xy\pi }{2}
Combine like terms in x^{2}\pi +y^{2}\pi -x^{2}\pi -2xy\pi -y^{2}\pi .
-xy\pi
Cancel out 2 and 2.
\frac{x^{2}\pi +y^{2}\pi }{2}-\frac{\left(x+y\right)^{2}\pi }{2}
Since \frac{x^{2}\pi }{2} and \frac{y^{2}\pi }{2} have the same denominator, add them by adding their numerators.
\frac{x^{2}\pi +y^{2}\pi -\left(x+y\right)^{2}\pi }{2}
Since \frac{x^{2}\pi +y^{2}\pi }{2} and \frac{\left(x+y\right)^{2}\pi }{2} have the same denominator, subtract them by subtracting their numerators.
\frac{x^{2}\pi +y^{2}\pi -x^{2}\pi -2xy\pi -y^{2}\pi }{2}
Do the multiplications in x^{2}\pi +y^{2}\pi -\left(x+y\right)^{2}\pi .
\frac{-2xy\pi }{2}
Combine like terms in x^{2}\pi +y^{2}\pi -x^{2}\pi -2xy\pi -y^{2}\pi .
-xy\pi
Cancel out 2 and 2.
Examples
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}