What is lcm 16-x^4,16+8x^2+x^4,16-8x^2+x^4 ?

The solution to lcm 16-x^4,16+8x^2+x^4,16-8x^2+x^4 is -(x+2)^2(x-2)^2(x^2+4)^2

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lcm 16-x^4,16+8x^2+x^4,16-8x^2+x^4

lcm

16 - x^{4}, 16 + 8 x^{2} + x^{4}, 16 - 8 x^{2} + x^{4}

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

Solution steps

Find Least Common Multiplier of

16 - x^{4}, 16 + 8 x^{2} + x^{4}, 16 - 8 x^{2} + x^{4}

Factor

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

Factor

16 + 8 x^{2} + x^{4} : (x^{2} + 4)^{2}

Factor

16 - 8 x^{2} + x^{4} : (x + 2)^{2} (x - 2)^{2}

Multiply each factor with the highest power:

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

(1.2), (3.1) y (- 3.1)

- 2 b + 2 c, b + 3 c

9 x - 8 y + 3 z, 6 x + 7 y + 4 z, - 11 x + 2 y - 5 z

3 m^{2}, - 4 m^{2}, - 7 m^{2}, 2 m^{2}

x^{2} - 3 x - 4, x^{2} - 8 x + 15

What is lcm 16-x^4,16+8x^2+x^4,16-8x^2+x^4 ?
The solution to lcm 16-x^4,16+8x^2+x^4,16-8x^2+x^4 is -(x+2)^2(x-2)^2(x^2+4)^2