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4x^{2}-6y^{2}
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4x^{2}-6y^{2}
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4x^{2}-4xy+y^{2}+2y\left(2x-y\right)-5y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-y\right)^{2}.
4x^{2}-4xy+y^{2}+4yx-2y^{2}-5y^{2}
Use the distributive property to multiply 2y by 2x-y.
4x^{2}+y^{2}-2y^{2}-5y^{2}
Combine -4xy and 4yx to get 0.
4x^{2}-y^{2}-5y^{2}
Combine y^{2} and -2y^{2} to get -y^{2}.
4x^{2}-6y^{2}
Combine -y^{2} and -5y^{2} to get -6y^{2}.
4x^{2}-4xy+y^{2}+2y\left(2x-y\right)-5y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-y\right)^{2}.
4x^{2}-4xy+y^{2}+4yx-2y^{2}-5y^{2}
Use the distributive property to multiply 2y by 2x-y.
4x^{2}+y^{2}-2y^{2}-5y^{2}
Combine -4xy and 4yx to get 0.
4x^{2}-y^{2}-5y^{2}
Combine y^{2} and -2y^{2} to get -y^{2}.
4x^{2}-6y^{2}
Combine -y^{2} and -5y^{2} to get -6y^{2}.
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