What is expand (x-5y)^3 ?

The solution to expand (x-5y)^3 is x^3-15x^2y+75xy^2-125y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x-5y)^3

expand

(x - 5 y)^{3}

x^{3} - 15 x^{2} y + 75 x y^{2} - 125 y^{3}

Solution steps

(x - 5 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} - 3 x^{2} \cdot 5 y + 3 x (5 y)^{2} - (5 y)^{3} : x^{3} - 15 x^{2} y + 75 x y^{2} - 125 y^{3}

= x^{3} - 15 x^{2} y + 75 x y^{2} - 125 y^{3}

9 x^{2} - 36 x + 36

m x^{m - 2} (m - 1)

(2 x^{4} + y)^{2}

x^{2} \cdot 5 x

\frac{cos ( y )}{sin ( y )}

What is expand (x-5y)^3 ?
The solution to expand (x-5y)^3 is x^3-15x^2y+75xy^2-125y^3