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Factor. $\newline$ $16u^2 - 40u + 25$

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Factor quadratics

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Q. Factor.

\newline

16u^2 - 40u + 25

Find Square Root: Look at the first term, $16u^2$ , and find its square root. The square root of $16u^2$ is $4u$ .
Check Last Term: Look at the last term, $25$ , and find its square root. The square root of $25$ is $5$ .
Verify Middle Term: Check the middle term, $-40u$ , to see if it equals $2$ times the product of the square roots of the first and last terms. $2 \times 4u \times 5 = 40u$ , but we need $-40u$ , so it checks out.
Write Factored Form: Write the factored form using the square roots from steps $1$ and $2$ . The expression $(4u - 5)^2$ equals $16u^2 - 2 \times 4u \times 5 + 25$ , which is our original expression.

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