What is lcm x^3+2x,-x^2+4 ?

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

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lcm x^3+2x,-x^2+4

lcm

x^{3} + 2 x, - x^{2} + 4

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

Solution steps

Find Least Common Multiplier of

x^{3} + 2 x, - x^{2} + 4

Factor

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

Factor

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

Multiply each factor with the highest power:

- x \cdot (x + 2) \cdot (x - 2) \cdot (x^{2} + 2)

7 a^{2} - 5 a + 33 a^{2} - 97 + 3 a, 1.5 a + 4 a^{2}

3 y^{3}, 12 y^{5}

(x - 1), (x^{2} - 1), (x^{2} + 1) (x^{4} + 1)

2 (3 x - 2) + 4 (4 - 2 x), 3 (1 - 5 x) - 2 (2 x - 1)

\frac{x}{2}, (\frac{x}{3} - \frac{x}{4})

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