What is factor 8p^3-d^3e^3 ?

The solution to factor 8p^3-d^3e^3 is (2p-ed)(4p^2+2epd+e^2d^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 8p^3-d^3e^3

factor

8 p^{3} - d^{3} e^{3}

(2 p - e d) (4 p^{2} + 2 e p d + e^{2} d^{2})

Solution steps

8 p^{3} - d^{3} e^{3}

Rewrite

8 p^{3}

(2 p)^{3}

Rewrite

d^{3} e^{3}

(d e)^{3}

= (2 p)^{3} - (d e)^{3}

Apply Difference of Cubes Formula:

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

(2 p)^{3} - (d e)^{3} = (2 p - d e) ((2 p)^{2} + 2 p d e + (d e)^{2})

= (2 p - d e) ((2 p)^{2} + 2 p d e + (d e)^{2})

Simplify

(2 p - d e) ((2 p)^{2} + 2 p d e + (d e)^{2}) : (2 p - e d) (4 p^{2} + 2 e p d + e^{2} d^{2})

= (2 p - e d) (4 p^{2} + 2 e p d + e^{2} d^{2})

- (5 y^{2})

4 ry + 3 rz + 8 x y + 6 x z

x^{(2)} + 5 x - 60

cos (n) π^{3} - cos (n) π

\frac{2 ^{3 + n}}{2 ^{n + 4}}

What is factor 8p^3-d^3e^3 ?
The solution to factor 8p^3-d^3e^3 is (2p-ed)(4p^2+2epd+e^2d^2)