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7\left(4x^{2}y^{2}-y^{4}\right)
Factor out 7.
y^{2}\left(4x^{2}-y^{2}\right)
Consider 4x^{2}y^{2}-y^{4}. Factor out y^{2}.
\left(2x-y\right)\left(2x+y\right)
Consider 4x^{2}-y^{2}. Rewrite 4x^{2}-y^{2} as \left(2x\right)^{2}-y^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
7y^{2}\left(2x-y\right)\left(2x+y\right)
Rewrite the complete factored expression.