Factor
\left(x+3y\right)\left(x+4y\right)
Evaluate
\left(x+3y\right)\left(x+4y\right)
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x^{2}+7yx+12y^{2}
Consider x^{2}+7xy+12y^{2} as a polynomial over variable x.
\left(x+4y\right)\left(x+3y\right)
Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{2} and m divides the constant factor 12y^{2}. One such factor is x+4y. Factor the polynomial by dividing it by this factor.
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