Factor
\left(x+5c\right)\left(x+5c+7\right)
Evaluate
\left(x+5c\right)\left(x+5c+7\right)
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25c^{2}+\left(10x+35\right)c+x^{2}+7x
Consider 25c^{2}+10cx+x^{2}+35c+7x as a polynomial over variable c.
\left(x+5c\right)\left(x+5c+7\right)
Find one factor of the form kc^{m}+n, where kc^{m} divides the monomial with the highest power 25c^{2} and n divides the constant factor x^{2}+7x. One such factor is x+5c. Factor the polynomial by dividing it by this factor.
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