Evaluate
\left(x-y\right)^{2}-t^{2}
Expand
x^{2}-2xy+y^{2}-t^{2}
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x^{2}-xy+xt-yx+y^{2}-yt-tx+ty-t^{2}
Apply the distributive property by multiplying each term of x-y-t by each term of x-y+t.
x^{2}-2xy+xt+y^{2}-yt-tx+ty-t^{2}
Combine -xy and -yx to get -2xy.
x^{2}-2xy+y^{2}-yt+ty-t^{2}
Combine xt and -tx to get 0.
x^{2}-2xy+y^{2}-t^{2}
Combine -yt and ty to get 0.
x^{2}-xy+xt-yx+y^{2}-yt-tx+ty-t^{2}
Apply the distributive property by multiplying each term of x-y-t by each term of x-y+t.
x^{2}-2xy+xt+y^{2}-yt-tx+ty-t^{2}
Combine -xy and -yx to get -2xy.
x^{2}-2xy+y^{2}-yt+ty-t^{2}
Combine xt and -tx to get 0.
x^{2}-2xy+y^{2}-t^{2}
Combine -yt and ty to get 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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
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