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