What is lcm 2x^3+16,x^2+4x+4,x^2+3x+2 ?

The solution to lcm 2x^3+16,x^2+4x+4,x^2+3x+2 is 2(x+1)(x+2)^2(x^2-2x+4)

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lcm 2x^3+16,x^2+4x+4,x^2+3x+2

lcm

2 x^{3} + 16, x^{2} + 4 x + 4, x^{2} + 3 x + 2

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

Solution steps

Find Least Common Multiplier of

2 x^{3} + 16, x^{2} + 4 x + 4, x^{2} + 3 x + 2

Factor

2 x^{3} + 16 : 2 (x + 2) (x^{2} - 2 x + 4)

Factor

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

Factor

x^{2} + 3 x + 2 : (x + 1) (x + 2)

Multiply each factor with the highest power:

2 \cdot (x + 1) \cdot (x + 2)^{2} \cdot (x^{2} - 2 x + 4)

[e] =, [m] \cdot [l]^{2}, (t)^{2}

\frac{( - r _{8} )}{91}, \frac{23}{114}

x^{2} + 2 x + y^{2}, x + y

9, x + 7, 3 x + 8

b \cdot (x - \frac{3}{2}) (x + 4), = (2 x - 3) (2 x + 8)

What is lcm 2x^3+16,x^2+4x+4,x^2+3x+2 ?
The solution to lcm 2x^3+16,x^2+4x+4,x^2+3x+2 is 2(x+1)(x+2)^2(x^2-2x+4)