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Popular >

factor a^5-a^4-a+1

Solution

factor

a^{5} - a^{4} - a + 1

Solution

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

Solution steps

a^{5} - a^{4} - a + 1

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

Factor out

a^{4}

from

a^{5} - a^{4} : a^{4} (a - 1)

Factor out

- 1

from

- a + 1 : - (a - 1)

= a^{4} (a - 1) - (a - 1)

Factor out common term

(a - 1) : (a - 1) (a^{4} - 1)

= (a - 1) (a^{4} - 1)

Factor

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

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

Apply exponent rule:

aa = a^{2}

(a - 1) (a - 1) = (a - 1)^{2}

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

Popular Examples

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x^{3} - 8

3 s^{2} + 8 s = 2 s - 9

x^{2} - 6 x + 36 = 0

Frequently Asked Questions (FAQ)

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