Question

factor.
$25u^2 - 60u + 36$

Explanation:

Step1: Identify perfect square terms

$25u^2=(5u)^2$, $36=6^2$

Step2: Verify middle term

$2\times5u\times6=60u$, matches the absolute value of the middle term

Step3: Apply perfect square formula

Since the middle term is negative, use $(a-b)^2=a^2-2ab+b^2$ where $a=5u$, $b=6$

Answer:

$(5u-6)^2$