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