Factor
\left(5y+r\right)\left(7y+r\right)
Evaluate
\left(5y+r\right)\left(7y+r\right)
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r^{2}+12yr+35y^{2}
Consider r^{2}+12ry+35y^{2} as a polynomial over variable r.
\left(7y+r\right)\left(5y+r\right)
Find one factor of the form r^{k}+m, where r^{k} divides the monomial with the highest power r^{2} and m divides the constant factor 35y^{2}. One such factor is 7y+r. Factor the polynomial by dividing it by this factor.
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