Factor
3x\left(2x+3y\right)^{2}
Evaluate
3x\left(2x+3y\right)^{2}
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3\left(4x^{3}+12x^{2}y+9xy^{2}\right)
Factor out 3.
x\left(4x^{2}+12xy+9y^{2}\right)
Consider 4x^{3}+12x^{2}y+9xy^{2}. Factor out x.
\left(2x+3y\right)^{2}
Consider 4x^{2}+12xy+9y^{2}. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=2x and b=3y.
3x\left(2x+3y\right)^{2}
Rewrite the complete factored expression.
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