Question

Please factor these three questions- (30 points)

a^2-12a+36

9c^2 + 6c + 1

30e^3 - 60e^2 + 30e
Please help ASAP!

Answer 1

(a - 6)²

(3c + 1)²

30e(e - 1)²

Explanation:

a^2-12a+36

a² - 6a - 6a + 36

a(a - 6) - 6(a - 6)

(a - 6)(a - 6)

(a - 6)²

9c^2 + 6c + 1

9c² + 3c + 3c + 1

3c(3c + 1) + 1(3c + 1)

(3c + 1)(3c + 1)

(3c + 1)²

30e^3 - 60e^2 + 30e

30e(e² - 2e + 1)

30e(e² - e - e + 1)

30e[e(e - 1) - (e - 1)]

30e(e - 1)(e - 1)

30e(e - 1)²

Answer 2

`a^2-12a+36\\(a-6)(a-6)\\(a-6)^2`

`9c^2 + 6c + 1\\\left(3c\right)^2+2\cdot \:3c\cdot \:1+1^2\\\left(3c+1\right)^2`

`30e^3 - 60e^2 + 30e\\30e\left(e^2-2e+1\right)\\30e(e-1)(e-1)\\30e(e-1)^2`