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factor completely. $u^{2}-4u + 4$

Question

factor completely. $u^{2}-4u + 4$

Explanation:

Step1: Recognize the form

The expression $u^{2}-4u + 4$ is in the form of $a^{2}-2ab + b^{2}$, where $a = u$ and $b=2$.

Step2: Apply the perfect - square formula

The perfect - square formula is $a^{2}-2ab + b^{2}=(a - b)^{2}$. Substituting $a = u$ and $b = 2$ into the formula, we get $(u - 2)^{2}$.

Answer:

$(u - 2)^{2}$