Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{2}^{2}{x}^{2}+2\times 3x\times 3y+{(3y)}^{2}\]
Simplify \({2}^{2}\) to \(4\).
\[4{x}^{2}+2\times 3x\times 3y+{(3y)}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[4{x}^{2}+2\times 3x\times 3y+{3}^{2}{y}^{2}\]
Simplify \({3}^{2}\) to \(9\).
\[4{x}^{2}+2\times 3x\times 3y+9{y}^{2}\]
Simplify \(2\times 3x\times 3y\) to \(18xy\).
\[4{x}^{2}+18xy+9{y}^{2}\]
4*x^2+18*x*y+9*y^2
