What is lcm 4x^2-36,6x^2+14x-12 ?

The solution to lcm 4x^2-36,6x^2+14x-12 is 4(3x-2)(x+3)(x-3)

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lcm 4x^2-36,6x^2+14x-12

lcm

4 x^{2} - 36, 6 x^{2} + 14 x - 12

4 (3 x - 2) (x + 3) (x - 3)

Solution steps

Find Least Common Multiplier of

4 x^{2} - 36, 6 x^{2} + 14 x - 12

Factor

4 x^{2} - 36 : 2^{2} (x + 3) (x - 3)

Factor

6 x^{2} + 14 x - 12 : 2 (3 x - 2) (x + 3)

Multiply each factor with the highest power:

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

Simplify

4 (3 x - 2) (x + 3) (x - 3)

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

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

What is lcm 4x^2-36,6x^2+14x-12 ?
The solution to lcm 4x^2-36,6x^2+14x-12 is 4(3x-2)(x+3)(x-3)