What is factor (7p)^3-(2r)^3 ?

The solution to factor (7p)^3-(2r)^3 is (7p-2r)(49p^2+14pr+4r^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (7p)^3-(2r)^3

factor

(7 p)^{3} - (2 r)^{3}

(7 p - 2 r) (49 p^{2} + 14 p r + 4 r^{2})

Solution steps

(7 p)^{3} - (2 r)^{3}

Apply Difference of Cubes Formula:

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

(7 p)^{3} - (2 r)^{3} = (7 p - 2 r) ((7 p)^{2} + 2 r 7 p + (2 r)^{2})

= (7 p - 2 r) ((2 r)^{2} + 2 r 7 p + (7 p)^{2})

Simplify

(7 p - 2 r) ((7 p)^{2} + 2 r \cdot 7 p + (2 r)^{2}) : (7 p - 2 r) (49 p^{2} + 14 p r + 4 r^{2})

= (7 p - 2 r) (49 p^{2} + 14 p r + 4 r^{2})

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

z + (- 5)

- x + (- 4)

- 7

(9 x^{3} y^{3})^{5}

What is factor (7p)^3-(2r)^3 ?
The solution to factor (7p)^3-(2r)^3 is (7p-2r)(49p^2+14pr+4r^2)