Evaluate
\left(x+2y\right)\left(9x+18y-1\right)
Expand
9x^{2}+36xy-x+36y^{2}-2y
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9x^{2}+36xy+36y^{2}-\left(x+2y\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+6y\right)^{2}.
9x^{2}+36xy+36y^{2}-x-2y
To find the opposite of x+2y, find the opposite of each term.
9x^{2}+36xy+36y^{2}-\left(x+2y\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+6y\right)^{2}.
9x^{2}+36xy+36y^{2}-x-2y
To find the opposite of x+2y, find the opposite of each term.
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