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9\left(x^{2}+2xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
9x^{2}+18xy+9y^{2}
Use the distributive property to multiply 9 by x^{2}+2xy+y^{2}.
9\left(x^{2}+2xy+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
9x^{2}+18xy+9y^{2}
Use the distributive property to multiply 9 by x^{2}+2xy+y^{2}.