en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (n-1)^3

Solution

expand

(n - 1)^{3}

Solution

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

Solution steps

(n - 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

simplify 4i(3-2i)(2+7i)simplify

4 i (3 - 2 i) (2 + 7 i)

simplify sqrt(1/4+1)simplify

\frac{1}{4} + 1

simplify 1*a simplify

1 \cdot a

factor x^4-2x^3-11x^2+12x+36 factor

x^{4} - 2 x^{3} - 11 x^{2} + 12 x + 36

simplify \sqrt[3]{-0.064}simplify

Frequently Asked Questions (FAQ)

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