Factor
\left(2x^{3}+y^{2}\right)\left(x^{3}+4y^{2}\right)
Evaluate
\left(2x^{3}+y^{2}\right)\left(x^{3}+4y^{2}\right)
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2x^{6}+9y^{2}x^{3}+4y^{4}
Consider 2x^{6}+9x^{3}y^{2}+4y^{4} as a polynomial over variable x.
\left(2x^{3}+y^{2}\right)\left(x^{3}+4y^{2}\right)
Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 2x^{6} and n divides the constant factor 4y^{4}. One such factor is 2x^{3}+y^{2}. Factor the polynomial by dividing it by this factor.
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