To factor the expression \(u^2 - 8u + 16\), we need to find two numbers that multiply to 16 (the constant term) and add to -8 (the coefficient of the middle term).
The two numbers are -4 and -4 because \((-4) \times (-4) = 16\) and \((-4) + (-4) = -8\).
Therefore, we can rewrite the expression as:
\(u^2 - 8u + 16 = (u - 4)(u - 4)\)
This can also be written as:
\(u^2 - 8u + 16 = (u - 4)^2\)
factor u^2-8u+16
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