What is factor 125p^3-8 ?

The solution to factor 125p^3-8 is (5p-2)(25p^2+10p+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 125p^3-8

factor

125 p^{3} - 8

(5 p - 2) (25 p^{2} + 10 p + 4)

Solution steps

125 p^{3} - 8

Apply exponent rules

= (5 p)^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

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

= (5 p - 2) (5^{2} p^{2} + 2 \cdot 5 p + 2^{2})

Simplify

(5 p - 2) (5^{2} p^{2} + 2 \cdot 5 p + 2^{2}) : (5 p - 2) (25 p^{2} + 10 p + 4)

= (5 p - 2) (25 p^{2} + 10 p + 4)

\frac{- 3}{2} \times 2

- i^{- 1}

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

6 \times 11

6 \times 64

What is factor 125p^3-8 ?
The solution to factor 125p^3-8 is (5p-2)(25p^2+10p+4)