Q: What does 6x to the power of 8 divided by 12x to the power of 3 equal?

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(6x^5 + 12x) / (-2x^-3) =[ (6x^5 + 12x) (x^3) ] / (-2) =(6x^8 + 12x^4) / (-2)=(3x^8 + 6x^4) =(3x^4)[ (x^4) + 2 ]

2

(-6x)(-12x)(-4) = -(6x)(12x)(4) = -[(6)(12)(4)][(x)(x)] = -(288)(x^2) = -288x^2

6x^2(2x + 5)

12x-41=6x+1 add 41 to both sides 12x=6x+42 subtract 6x from both sides 6x=42 divide both sides by 8 x=7

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(6x^5 + 12x) / (-2x^-3) =[ (6x^5 + 12x) (x^3) ] / (-2) =(6x^8 + 12x^4) / (-2)=(3x^8 + 6x^4) =(3x^4)[ (x^4) + 2 ]

2

1+6x+6x+8 1+ 12x +8 12x + 9 = 21 + x

2

(-6x)(-12x)(-4) = -(6x)(12x)(4) = -[(6)(12)(4)][(x)(x)] = -(288)(x^2) = -288x^2

The GCF is 6x^3.

6x^2(2x + 5)

12x-41=6x+1 add 41 to both sides 12x=6x+42 subtract 6x from both sides 6x=42 divide both sides by 8 x=7

10+12x=-14 -14-10=12x 12x=-24 x=-2

To find the least common multiple (LCM) of 6x^2 and 12x, we first need to break down each term into its prime factors. 6x^2 can be broken down into 2 * 3 * x * x, while 12x can be broken down into 2 * 2 * 3 * x. The LCM is the product of all the unique prime factors with the highest power they appear in any of the numbers, which in this case is 2 * 2 * 3 * x * x. Therefore, the LCM of 6x^2 and 12x is 12x^2.

8x-3+6x-1 = 12x+614x-4 = 12x+614x-12x = 6+42x = 10x = 5

6x + 12x + 2x = 80 20x = 80 x = 4