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

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

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lcm a^3b^3,a^2+2a^3-b^3

lcm

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

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

Solution steps

Find Least Common Multiplier of

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

Factor

a^{3} b^{3}

a^{3} \cdot b^{3}

Multiply each factor with the highest power:

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

v_{1} (- 71), v_{2} (31), f_{2} (11)

55 x^{2} - 3 x + 2582 x^{2} - 9 x^{2}, 5 - 3 x + y

3 x^{2}, 9 x^{3} - 19 x^{2}

55 x^{2} - 3 x + 2, 5 - 3 x + y + 6, 2 x^{2} - 9 x^{2}

246810 a {2610}, f (x) 32

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