Expand
2x^{2}+12xy+18y^{2}
Evaluate
2\left(x+3y\right)^{2}
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2\left(x^{2}+6xy+9y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3y\right)^{2}.
2x^{2}+12xy+18y^{2}
Use the distributive property to multiply 2 by x^{2}+6xy+9y^{2}.
2\left(x^{2}+6xy+9y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3y\right)^{2}.
2x^{2}+12xy+18y^{2}
Use the distributive property to multiply 2 by x^{2}+6xy+9y^{2}.
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