What is lcm a^2-4,a^3-8,(a+2)^2 ?

The solution to lcm a^2-4,a^3-8,(a+2)^2 is (a+2)^2(a-2)(a^2+2a+4)

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lcm a^2-4,a^3-8,(a+2)^2

lcm

a^{2} - 4, a^{3} - 8, (a + 2)^{2}

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

Solution steps

Find Least Common Multiplier of

a^{2} - 4, a^{3} - 8, (a + 2)^{2}

Factor

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

Factor

a^{3} - 8 : (a - 2) (a^{2} + 2 a + 4)

Multiply each factor with the highest power:

(a + 2)^{2} \cdot (a - 2) \cdot (a^{2} + 2 a + 4)

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

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

What is lcm a^2-4,a^3-8,(a+2)^2 ?
The solution to lcm a^2-4,a^3-8,(a+2)^2 is (a+2)^2(a-2)(a^2+2a+4)