What is factor x^5-x^3+x^2-1 ?

The solution to factor x^5-x^3+x^2-1 is (x+1)^2(x-1)(x^2-x+1)

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factor x^5-x^3+x^2-1

factor

x^{5} - x^{3} + x^{2} - 1

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

Solution steps

x^{5} - x^{3} + x^{2} - 1

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

Factor out

x^{3}

from

x^{5} - x^{3} : x^{3} (x^{2} - 1)

= x^{3} (x^{2} - 1) + (x^{2} - 1)

Factor out common term

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

= (x^{2} - 1) (x^{3} + 1)

Factor

x^{2} - 1 : (x + 1) (x - 1)

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

Factor

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

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

Apply exponent rule:

aa = a^{2}

(x + 1) (x + 1) = (x + 1)^{2}

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

lo g_{10} (2) (16)

\frac{x}{x ^{2} - 2 x} - \frac{x}{x ^{2} - 8 x + 12}

7 \times 5

1 0^{1.5 (16.59649899) + 4.8}

\frac{1}{4} \times \frac{1}{5}

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