en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (6+h)^3

Solution

expand

(6 + h)^{3}

Solution

216 + 108 h + 18 h^{2} + h^{3}

Solution steps

(6 + h)^{3}

Apply Perfect Cube Formula:

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

(6 + h)^{3} = 6^{3} + 3 \cdot 6^{2} h + 3 \cdot 6 h^{2} + h^{3}

= 6^{3} + 3 \cdot 6^{2} h + 3 \cdot 6 h^{2} + h^{3}

Simplify

6^{3} + 3 \cdot 6^{2} h + 3 \cdot 6 h^{2} + h^{3} : 216 + 108 h + 18 h^{2} + h^{3}

= 216 + 108 h + 18 h^{2} + h^{3}

Popular Examples

simplify 2*2^{-4}simplify

2 \cdot 2^{- 4}

\frac{96}{9}

simplify x^2+(x/2)^2 simplify

x^{2} + (\frac{x}{2})^{2}

simplify (6x+1)+3(x+2)simplify

(6 x + 1) + 3 (x + 2)

simplify 3(4x-5)-15 simplify

3 (4 x - 5) - 15

Frequently Asked Questions (FAQ)

What is expand (6+h)^3 ?
The solution to expand (6+h)^3 is 216+108h+18h^2+h^3