en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^3+27

Solution

factor

a^{3} + 27

Solution

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

Solution steps

a^{3} + 27

Rewrite

27

as

3^{3}

= a^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

3^{2} = 9

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

Popular Examples

\frac{225}{180}

join 1/2 sin(2x)join

\frac{1}{2} sin (2 x)

simplify (7-i)(1+5i)simplify

(7 - i) (1 + 5 i)

factor ab-b^2 factor

ab - b^{2}

simplify 15\times 3 simplify

15 \times 3

Frequently Asked Questions (FAQ)

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