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Popular >

factor a^5-1

Solution

factor

a^{5} - 1

Solution

(a - 1) (a^{4} + a^{3} + a^{2} + a + 1)

Solution steps

a^{5} - 1

Rewrite

1

as

1^{5}

= a^{5} - 1^{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})

a^{5} - 1^{5} = (a - 1) (a^{4} + a^{3} + a^{2} + a + 1)

= (a - 1) (a^{4} + a^{3} + a^{2} + a + 1)

Popular Examples

- 6 x + 9 \leq 25

factor 12-8x factor

12 - 8 x

simplify 2b^2(a-1)-8a(b^2+1)simplify

2 b^{2} (a - 1) - 8 a (b^{2} + 1)

simplify (x^2y^5)/(xy^4)simplify

\frac{x ^{2} y ^{5}}{x y ^{4}}

32 = 0.25

Frequently Asked Questions (FAQ)

What is factor a^5-1 ?
The solution to factor a^5-1 is (a-1)(a^4+a^3+a^2+a+1)