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5\left(g^{2}h+3g^{3}h+4g^{3}h^{2}\right)
Factor out 5.
g^{2}h\left(1+3g+4gh\right)
Consider g^{2}h+3g^{3}h+4g^{3}h^{2}. Factor out g^{2}h.
5g^{2}h\left(1+3g+4gh\right)
Rewrite the complete factored expression.