en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^3+27b^3

Solution

factor

a^{3} + 27 b^{3}

Solution

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

Solution steps

a^{3} + 27 b^{3}

Apply exponent rules

= a^{3} + (3 b)^{3}

Apply Sum of Cubes Formula:

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

a^{3} + (3 b)^{3} = (a + 3 b) (a^{2} - a \cdot 3 b + (3 b)^{2})

= (a + 3 b) (a^{2} - a \cdot 3 b + (3 b)^{2})

Simplify

a^{2} - a \cdot 3 b + (3 b)^{2} : a^{2} - 3 ab + 9 b^{2}

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

Popular Examples

simplify [35*3-x^3]+34 simplify

[35 \cdot 3 - x^{3}] + 34

simplify 3b^5*sqrt(12b^2+20b)simplify

3 b^{5} \cdot 12 b^{2} + 20 b

simplify 5x^2+9.7xy+6x^2-9 simplify

5 x^{2} + 9.7 x y + 6 x^{2} - 9

simplify (6y^2-3)2 simplify

(6 y^{2} - 3) 2

simplify 3/a-b/2+c/((x+y))-d simplify

\frac{3}{a} - \frac{b}{2} + \frac{c}{( x + y )} - d

Frequently Asked Questions (FAQ)

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