What is lcm x^2-3x+y+6,-12-6y+2x+2x^2 ?

The solution to lcm x^2-3x+y+6,-12-6y+2x+2x^2 is (-6-3y+x+x^2)*2(x^2-3x+y+6)

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lcm x^2-3x+y+6,-12-6y+2x+2x^2

lcm

x^{2} - 3 x + y + 6, - 12 - 6 y + 2 x + 2 x^{2}

(- 6 - 3 y + x + x^{2}) \cdot 2 (x^{2} - 3 x + y + 6)

Solution steps

Find Least Common Multiplier of

x^{2} - 3 x + y + 6, - 12 - 6 y + 2 x + 2 x^{2}

Factor

- 12 - 6 y + 2 x + 2 x^{2} : 2 (- 6 - 3 y + x + x^{2})

Multiply each factor with the highest power:

(- 6 - 3 y + x + x^{2}) \cdot 2 \cdot (x^{2} - 3 x + y + 6)

(a^{2} - 7), (a^{2} + 8)

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

42 a + b, a + b - c

∣ n ∣, ∣ 854 - 854 ∣

x^{2} - 3 x + 2 x^{2} - 1

What is lcm x^2-3x+y+6,-12-6y+2x+2x^2 ?
The solution to lcm x^2-3x+y+6,-12-6y+2x+2x^2 is (-6-3y+x+x^2)*2(x^2-3x+y+6)