What is lcm a^3-6b^2-c^0,3c^3+6b^2-2a^3 ?

The solution to lcm a^3-6b^2-c^0,3c^3+6b^2-2a^3 is (3c^3+6b^2-2a^3)(a^3-6b^2-1)

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lcm a^3-6b^2-c^0,3c^3+6b^2-2a^3

lcm

a^{3} - 6 b^{2} - c^{0}, 3 c^{3} + 6 b^{2} - 2 a^{3}

(3 c^{3} + 6 b^{2} - 2 a^{3}) (a^{3} - 6 b^{2} - 1)

Solution steps

Find Least Common Multiplier of

a^{3} - 6 b^{2} - c^{0}, 3 c^{3} + 6 b^{2} - 2 a^{3}

Factor

a^{3} - 6 b^{2} - c^{0} : a^{3} - 6 b^{2} - 1

Multiply each factor with the highest power:

(3 c^{3} + 6 b^{2} - 2 a^{3}) \cdot (a^{3} - 6 b^{2} - 1)

1213 - x^{2} + x - 6, x^{3} - 7 x^{2} + 5, - x^{3} + 8 x - 5

(1 + 4 x)^{3}, (3 + x - x^{2})^{8}

x^{2} + 4 x, - 5 x + x^{2}

4 x^{3} + 2 x^{2} - 4 x + 6, x - 2

4 m + 5 y - 3 z, 2 x - 2 y + 5 z

What is lcm a^3-6b^2-c^0,3c^3+6b^2-2a^3 ?
The solution to lcm a^3-6b^2-c^0,3c^3+6b^2-2a^3 is (3c^3+6b^2-2a^3)(a^3-6b^2-1)