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

The solution to expand (5x-3y)^3 is 125x^3-225x^2y+135xy^2-27y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5x-3y)^3

expand

(5 x - 3 y)^{3}

125 x^{3} - 225 x^{2} y + 135 x y^{2} - 27 y^{3}

Solution steps

(5 x - 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(5 x)^{3} - 3 (5 x)^{2} \cdot 3 y + 3 \cdot 5 x (3 y)^{2} - (3 y)^{3} : 125 x^{3} - 225 x^{2} y + 135 x y^{2} - 27 y^{3}

= 125 x^{3} - 225 x^{2} y + 135 x y^{2} - 27 y^{3}

2 y + 30

\frac{2 ( sec ^{2} ( a ) + 1 )}{( sec ^{2} ( a ) - 1 )}

\frac{\frac{3}{x}}{\frac{3}{x}} + 1

(arccot (x))^{2} - 8 arccot (x)

0 t + 2 (5 + x) - (8 + x) \cdot (z + x)^{2}

What is expand (5x-3y)^3 ?
The solution to expand (5x-3y)^3 is 125x^3-225x^2y+135xy^2-27y^3