What is lcm (a^2-1)^2-(a^2-a),(a^2+a)*e ?

The solution to lcm (a^2-1)^2-(a^2-a),(a^2+a)*e is ea(a+1)(a-1)(a^3+a^2-2a-1)

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lcm (a^2-1)^2-(a^2-a),(a^2+a)*e

lcm

(a^{2} - 1)^{2} - (a^{2} - a), (a^{2} + a) \cdot e

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

Solution steps

Find Least Common Multiplier of

(a^{2} - 1)^{2} - (a^{2} - a), (a^{2} + a) \cdot e

Factor

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

Factor

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

Multiply each factor with the highest power:

e \cdot a \cdot (a + 1) \cdot (a - 1) \cdot (a^{3} + a^{2} - 2 a - 1)

1 + x, \frac{1}{x}, - \frac{1}{( x ^{2} )}

- 9 x^{2}, 3 x + y

5 a^{4}, (a^{2})^{3}, (2 a)^{2}

3 a^{2} + 3 a - 60 =, 6 a^{2} - 18 a - 24

(2), 8 x^{3} + 12 x^{2} \cdot y + 6 x \cdot y^{2} + y^{3}

What is lcm (a^2-1)^2-(a^2-a),(a^2+a)*e ?
The solution to lcm (a^2-1)^2-(a^2-a),(a^2+a)*e is ea(a+1)(a-1)(a^3+a^2-2a-1)