What is factor x^5-a^5 ?

The solution to factor x^5-a^5 is (x-a)(x^4+a^4+ax^3+x^2a^2+xa^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^5-a^5

factor

x^{5} - a^{5}

(x - a) (x^{4} + a^{4} + a x^{3} + x^{2} a^{2} + x a^{3})

Solution steps

x^{5} - a^{5}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

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

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

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

\frac{1}{2} x^{2} - 3

(8 1^{\frac{1}{2}})^{5}

lo g_{10} (3) (\frac{1}{27})

lo g_{0.5} (0.125)

What is factor x^5-a^5 ?
The solution to factor x^5-a^5 is (x-a)(x^4+a^4+ax^3+x^2a^2+xa^3)