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7\left(x^{7}+14x^{6}+49x^{5}\right)
Factor out 7.
x^{5}\left(x^{2}+14x+49\right)
Consider x^{7}+14x^{6}+49x^{5}. Factor out x^{5}.
\left(x+7\right)^{2}
Consider x^{2}+14x+49. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=x and b=7.
7x^{5}\left(x+7\right)^{2}
Rewrite the complete factored expression.