What is factor (9x)^3-y^3 ?

The solution to factor (9x)^3-y^3 is (9x-y)(81x^2+9xy+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (9x)^3-y^3

factor

(9 x)^{3} - y^{3}

(9 x - y) (81 x^{2} + 9 x y + y^{2})

Solution steps

(9 x)^{3} - y^{3}

Apply Difference of Cubes Formula:

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

(9 x)^{3} - y^{3} = (9 x - y) ((9 x)^{2} + 9 x y + y^{2})

= (9 x - y) ((9 x)^{2} + y 9 x + y^{2})

Simplify

(9 x - y) ((9 x)^{2} + 9 x y + y^{2}) : (9 x - y) (81 x^{2} + 9 x y + y^{2})

= (9 x - y) (81 x^{2} + 9 x y + y^{2})

2 y e^{x y^{2}} + 2 x y^{5} e^{x y^{2}}

sin (450 + 2 x)

x^{2} - 3 x y + x \frac{d y}{d x}

9 π + 95 π

9^{2} + 37 X + 4

What is factor (9x)^3-y^3 ?
The solution to factor (9x)^3-y^3 is (9x-y)(81x^2+9xy+y^2)