en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-a)^3

Solution

expand

(1 - a)^{3}

Solution

1 - 3 a + 3 a^{2} - a^{3}

Solution steps

(1 - a)^{3}

Apply Perfect Cube Formula:

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

(1 - a)^{3} = 1^{3} - 3 \cdot 1^{2} a + 3 \cdot 1 \cdot a^{2} - a^{3}

= 1^{3} - 3 \cdot 1^{2} a + 3 \cdot 1 \cdot a^{2} - a^{3}

Simplify

1^{3} - 3 \cdot 1^{2} a + 3 \cdot 1 \cdot a^{2} - a^{3} : 1 - 3 a + 3 a^{2} - a^{3}

= 1 - 3 a + 3 a^{2} - a^{3}

Popular Examples

expand (6y^2+2x^2-5xy)(3x^2-4y^2+2xy)expand

(6 y^{2} + 2 x^{2} - 5 x y) (3 x^{2} - 4 y^{2} + 2 x y)

expand (x+7)(x+1)expand

(x + 7) (x + 1)

expand (x+7)(x+4)expand

(x + 7) (x + 4)

\frac{625}{4}

simplify log_{4}(4^{3x})simplify

lo g_{4} (4^{3 x})

Frequently Asked Questions (FAQ)

What is expand (1-a)^3 ?
The solution to expand (1-a)^3 is 1-3a+3a^2-a^3