Question

Factor x^2-10x+25,please show work

Answer 1

This is relatively easy because that 25 is a perfect square, whose (square) roots are 5 and -5.  x^2-10x+25 = (x - 5)(x - 5).  Note how (-5)(-5) = +25, and how -5x - 5x = -10x.

The roots are { (x-5), (x-5) }.