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x^{2}-4xy+4y^{2}+4y\left(x-y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
x^{2}-4xy+4y^{2}+4yx-4y^{2}
Use the distributive property to multiply 4y by x-y.
x^{2}+4y^{2}-4y^{2}
Combine -4xy and 4yx to get 0.
x^{2}
Combine 4y^{2} and -4y^{2} to get 0.
x^{2}-4xy+4y^{2}+4y\left(x-y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
x^{2}-4xy+4y^{2}+4yx-4y^{2}
Use the distributive property to multiply 4y by x-y.
x^{2}+4y^{2}-4y^{2}
Combine -4xy and 4yx to get 0.
x^{2}
Combine 4y^{2} and -4y^{2} to get 0.
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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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