We are to simplify:
x^2+10x+25
x^2-2x-35
Lets factor x² + 10x + 25: (x + 5)²
= (x + 5)²
x² -2x-35
Let's factor x² - 2x - 35: (x + 5)(x - 7)
= (x + 5)²
(x + 5)(x - 7)
= Apply exponent rule: a^b+c = a^b . a^c
(x + 5)² = (x + 5)(x + 5)
= (x + 5)(x + 5)
(x + 5)(x - 7)
cancel out common factor: x + 5
= x + 5
x - 7
