What is lcm x-1/2 ,x^3+3x^2+3x+1 ?

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

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lcm x-1/2 ,x^3+3x^2+3x+1

lcm

x - \frac{1}{2}, x^{3} + 3 x^{2} + 3 x + 1

(x + 1)^{3} (x - \frac{1}{2})

Solution steps

Find Least Common Multiplier of

x - \frac{1}{2}, x^{3} + 3 x^{2} + 3 x + 1

Factor

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

Multiply each factor with the highest power:

(x + 1)^{3} \cdot (x - \frac{1}{2})

x + 10 x, 24 x + 10 x

x - 2, x^{2} - 5 x + 6

\frac{( 4 + 2 x )}{3} >, x^{9} - 3

x^{2} + 2 x + 1, 3 x^{3} + x^{2} + 2 x + 5

2 + 3, (2 x + 3)

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