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