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5.11-\left(x^{2}-4xy+4y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
5.11-x^{2}+4xy-4y^{2}
To find the opposite of x^{2}-4xy+4y^{2}, find the opposite of each term.
5.11-\left(x^{2}-4xy+4y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
5.11-x^{2}+4xy-4y^{2}
To find the opposite of x^{2}-4xy+4y^{2}, find the opposite of each term.