Factor
x\left(x+2y\right)\left(5x+18y\right)
Evaluate
x\left(x+2y\right)\left(5x+18y\right)
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x\left(5x^{2}+28xy+36y^{2}\right)
Factor out x.
5x^{2}+28yx+36y^{2}
Consider 5x^{2}+28xy+36y^{2}. Consider 5x^{2}+28xy+36y^{2} as a polynomial over variable x.
\left(5x+18y\right)\left(x+2y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 5x^{2} and n divides the constant factor 36y^{2}. One such factor is 5x+18y. Factor the polynomial by dividing it by this factor.
x\left(5x+18y\right)\left(x+2y\right)
Rewrite the complete factored expression.
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