en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor b^3-27

Solution

factor

b^{3} - 27

Solution

(b - 3) (b^{2} + 3 b + 9)

Solution steps

b^{3} - 27

Rewrite

27

as

3^{3}

= b^{3} - 3^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

b^{3} - 3^{3} = (b - 3) (b^{2} + 3 b + 3^{2})

= (b - 3) (b^{2} + 3 b + 3^{2})

3^{2} = 9

= (b - 3) (b^{2} + 3 b + 9)

Popular Examples

factor h^2+9h+14 factor

h^{2} + 9 h + 14

0=-11t+((1/2)(-14))t^2+550

0 = - 11 t + ((\frac{1}{2}) (- 14)) t^{2} + 550

sqrt((x))+5x<= 4

(x) + 5 x \leq 4

simplify sqrt((-5)^4)simplify

(- 5)^{4}

∣ x + 4 ∣ > 5

Frequently Asked Questions (FAQ)

What is factor b^3-27 ?
The solution to factor b^3-27 is (b-3)(b^2+3b+9)