How do you do these problems ?

Question

Factor the polynomial completely. If the polynomial cannot be factored, write prime.
x^2 + 30x + 225

(x + 15)^2
(x + 15)(x - 15)
(x - 15)^2
prime



Problem 2

Factor the polynomial completely. If the polynomial cannot be factored, write prime.
18y^2 + 81y - 45

(18y - 9)(y + 5)
9(2y - 1)(y + 5)
9(2y + 1)(y - 5)
prime

Answer 1

x² + 30x + 225 = 0

x² + 15x + 15x + 225 = 0

x(x + 15) + 15(x + 15) = 0

(x + 15)(x + 15) = 0
- - - - - - - - -

18y² + 81y - 45 = 0

9(2y² + 9y - 5) = 0

9(2y² - 1y + 10y - 45) = 0

9[y(2y - 1) + 5(2y - 1)] = 0

9(y + 5)((2y - 1) = 0

- - - - - - - -s-

Answer 2

x^2+30x+225
(x+15)(x+15)*
15 X 15 = 225
and 15 +15 = 30x *when you distribute you'll get 30x
answer (x+15)(x+15)

18y^2 + 81y - 45
(3y - 9)(6y+5)
I think this one is a prime.