What is factor a^3-3+3a^2-a ?

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

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factor a^3-3+3a^2-a

factor

a^{3} - 3 + 3 a^{2} - a

(a + 3) (a + 1) (a - 1)

Solution steps

a^{3} - 3 + 3 a^{2} - a

Write in the standard form

= a^{3} + 3 a^{2} - a - 3

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

Factor out

a^{2}

from

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

Factor out

- 1

from

- a - 3 : - (a + 3)

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

Factor out common term

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

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

Factor

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

= (a + 3) (a + 1) (a - 1)

y^{2} + 8 y - 2 = 0

13 x^{2} - 38 x - 3

3 0^{\circ} \cdot \frac{π}{18 0 ^{\circ}}

4 x^{2} + 36 x + 81 = 0

2 x^{2} + 16 < 8 x

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