en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^6+125

Solution

factor

x^{6} + 125

Solution

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

Solution steps

x^{6} + 125

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

(x^{2})^{3} + 5^{3} = (x^{2} + 5) (x^{4} - 5 x^{2} + 5^{2})

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

5^{2} = 25

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

Popular Examples

simplify (2x^3y^2z)^3 simplify

(2 x^{3} y^{2} z)^{3}

simplify 4/((x-2))+x/((2-x))simplify

\frac{4}{( x - 2 )} + \frac{x}{( 2 - x )}

simplify 3(4-5x)+2(5x+2)3+x simplify

3 (4 - 5 x) + 2 (5 x + 2) 3 + x

simplify 5x-3+2x+0 simplify

5 x - 3 + 2 x + 0

simplify a(10-6)-b(25)(-13)simplify

a (10 - 6) - b (25) (- 13)

Frequently Asked Questions (FAQ)

What is factor x^6+125 ?
The solution to factor x^6+125 is (x^2+5)(x^4-5x^2+25)