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Popular >

factor a^4-a^3+a-1

Solution

factor

a^{4} - a^{3} + a - 1

Solution

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

Solution steps

a^{4} - a^{3} + a - 1

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

Factor out

a^{3}

from

a^{4} - a^{3} : a^{3} (a - 1)

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

Factor out common term

(a - 1) : (a - 1) (a^{3} + 1)

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

Factor

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

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

Popular Examples

factor-15k^2-5k+50 factor

- 15 k^{2} - 5 k + 50

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- 8 + 11

simplify (x^4-1)/(x^6-1)simplify

\frac{x ^{4} - 1}{x ^{6} - 1}

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\frac{- 2 + 6}{2}

simplify (6d^8)/((2d^2)^3)simplify

\frac{6 d ^{8}}{( 2 d ^{2} ) ^{3}}

Frequently Asked Questions (FAQ)

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