This document lists 10 algebraic expressions that have been factored into their prime factors. Each expression is written as a quadratic expression equal to the product of two linear factors, showing the factoring of standard quadratic forms like x^2 - k, where k is a positive integer, into their corresponding linear factors of (x+n)(x-n) where n is the positive square root of k.

1. x2
- 9 x2+10x+25
x2+2x+1 (x+6)(x-6)
x2 - 25 (x+1)(x-1)
x2 - 49 x2-8x+16
(x2
+12x+36) (x+4)(x-4)
(x+5)(x+5) (x+1)(x+1)
x2 - 16 (x+3)(x-3)
(x-4)(x-4) (x+6)(x+6)
x2 - 1 (x+7)(x-7)
x2 - 36 (x+5)(x-5)