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7\left(g^{2}k^{3}-5g^{5}k^{2}\right)
Factor out 7.
g^{2}k^{2}\left(k-5g^{3}\right)
Consider g^{2}k^{3}-5g^{5}k^{2}. Factor out g^{2}k^{2}.
7g^{2}k^{2}\left(k-5g^{3}\right)
Rewrite the complete factored expression.