en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4x-5)^3

Solution

expand

(4 x - 5)^{3}

Solution

64 x^{3} - 240 x^{2} + 300 x - 125

Solution steps

(4 x - 5)^{3}

Apply Perfect Cube Formula:

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

(4 x - 5)^{3} = (4 x)^{3} - 3 (4 x)^{2} \cdot 5 + 3 \cdot 4 x \cdot 5^{2} - 5^{3}

= (4 x)^{3} - 3 (4 x)^{2} \cdot 5 + 3 \cdot 4 x \cdot 5^{2} - 5^{3}

Simplify

(4 x)^{3} - 3 (4 x)^{2} \cdot 5 + 3 \cdot 4 x \cdot 5^{2} - 5^{3} : 64 x^{3} - 240 x^{2} + 300 x - 125

= 64 x^{3} - 240 x^{2} + 300 x - 125

Popular Examples

expand (x-2)(2x-1)expand

(x - 2) (2 x - 1)

simplify (99w^3x^4-81x^2+63w)/(-9wx)simplify

\frac{99 w ^{3} x ^{4} - 81 x ^{2} + 63 w}{- 9 w x}

simplify log_{2}(\sqrt[4]{32})simplify

simplify log_{9}(\sqrt[3]{9})simplify

simplify (-6)/(2(1))simplify

\frac{- 6}{2 ( 1 )}

Frequently Asked Questions (FAQ)

What is expand (4x-5)^3 ?
The solution to expand (4x-5)^3 is 64x^3-240x^2+300x-125