Factor
\left(5x+y\right)\left(3xy+5x-y\right)
Evaluate
\left(5x+y\right)\left(3xy+5x-y\right)
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\left(25+15y\right)x^{2}+3y^{2}x-y^{2}
Consider 25x^{2}-y^{2}+15x^{2}y+3xy^{2} as a polynomial over variable x.
\left(5x+y\right)\left(3xy+5x-y\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power \left(25+15y\right)x^{2} and n divides the constant factor -y^{2}. One such factor is 5x+y. Factor the polynomial by dividing it by this factor.
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