Answer:
(x-5)²
Step-by-step explanation:
To factor this
x² - 10x + 25.
We are going to look for two numbers such that its sum is equal to -10 and its product is equal to 25
The two numbers are -5 and -5
The sum of -5 and -5 is -10
and the product of -5 and -5 is 25
We will then replace -10x by -5x-5x
x² - 5x -5x + 25
(x² - 5x )(-5x + 25)
We can now go ahead and factorize
x (x-5) - 5(x-5)
=(x - 5)(x-5)
=(x-5)²