en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5-2n)^3

Solution

expand

(5 - 2 n)^{3}

Solution

125 - 150 n + 60 n^{2} - 8 n^{3}

Solution steps

(5 - 2 n)^{3}

Apply Perfect Cube Formula:

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

(5 - 2 n)^{3} = 5^{3} - 3 \cdot 5^{2} \cdot 2 n + 3 \cdot 5 (2 n)^{2} - (2 n)^{3}

= 5^{3} - 3 \cdot 5^{2} \cdot 2 n + 3 \cdot 5 (2 n)^{2} - (2 n)^{3}

Simplify

5^{3} - 3 \cdot 5^{2} \cdot 2 n + 3 \cdot 5 (2 n)^{2} - (2 n)^{3} : 125 - 150 n + 60 n^{2} - 8 n^{3}

= 125 - 150 n + 60 n^{2} - 8 n^{3}

Popular Examples

factor 3z^2+z-4 factor

3 z^{2} + z - 4

\frac{243}{32}

expand (x-y)(m+2n)expand

(x - y) (m + 2 n)

simplify (-5)-1 simplify

(- 5) - 1

simplify sqrt((7.5)^2+(7.5)^2)simplify

(7.5)^{2} + (7.5)^{2}

Frequently Asked Questions (FAQ)

What is expand (5-2n)^3 ?
The solution to expand (5-2n)^3 is 125-150n+60n^2-8n^3