en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a-4)^3

Solution

expand

(a - 4)^{3}

Solution

a^{3} - 12 a^{2} + 48 a - 64

Solution steps

(a - 4)^{3}

Apply Perfect Cube Formula:

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

(a - 4)^{3} = a^{3} - 3 a^{2} \cdot 4 + 3 a \cdot 4^{2} - 4^{3}

= a^{3} - 3 a^{2} \cdot 4 + 3 a \cdot 4^{2} - 4^{3}

Simplify

a^{3} - 3 a^{2} \cdot 4 + 3 a \cdot 4^{2} - 4^{3} : a^{3} - 12 a^{2} + 48 a - 64

= a^{3} - 12 a^{2} + 48 a - 64

Popular Examples

simplify 3.14*4^2 simplify

3.14 \cdot 4^{2}

simplify (5x^2-2x-4)-(6x^5+4x-2x^2-7)simplify

(5 x^{2} - 2 x - 4) - (6 x^{5} + 4 x - 2 x^{2} - 7)

factor x^5-x^3 factor

x^{5} - x^{3}

simplify-(3/5)^2 simplify

- (\frac{3}{5})^{2}

simplify (-1-7i)+(4+8i)simplify

(- 1 - 7 i) + (4 + 8 i)

Frequently Asked Questions (FAQ)

What is expand (a-4)^3 ?
The solution to expand (a-4)^3 is a^3-12a^2+48a-64