What is factor 8x^3-125 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 8x^3-125

factor

8 x^{3} - 125

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

Solution steps

8 x^{3} - 125

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

\frac{( 2 x + 7 )}{3} - \frac{( 3 x - 6 )}{4} + \frac{( 4 x + 9 )}{6} = \frac{( x + 3 )}{2}

- 16 t^{2} + 1354 = 0

\frac{4}{52} \cdot \frac{4}{52}

6 x^{2} - 384

- \frac{\frac{2}{3}}{( - \frac{8}{7} )}

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