Find the least common denominator of 3(2x-2) and x(5x-)5

[zolton5971]

Find the least common denominator of 3(2x-2) and x(5x-)5

I wanted to double check this, I got 10 as an answer? If not how would you get the LCD?​

 

[HallsofIvy]

Find the least common denominator of 3(2x-2) and x(5x-)5

Do you mean x(5x- 5)?

I wanted to double check this, I got 10 as an answer? If not how would you get the LCD?​

To begin with, to have a least common denominator, you have to have fractions so that you have denominators!
So either these are the denominators of some fractions- and the numerators are irrelevant- or the you want the least common multiple.

In any case, the common multiple of a function of x will be a function of x, not a number. You can write these as 6(x- 1) and 5x(x- 1). The least common multiple of 6 and 5 is NOT 10- you forgot the '3' as well as the x and the x- 1.

 

[srmichael]

Find the least common denominator of 3(2x-2) and x(5x-)5

I wanted to double check this, I got 10 as an answer? If not how would you get the LCD?​

First, I think you meant to type x(5x-5). That being said, 10 is not the LCD. What you need to do is factor each expression fully then determine what factors and numbers you need that will use the minimum factors necessary among the two expressin and the least common multiples among any numbers there may be.

Here is an example that may illustrate better what I am trying to say:

Expression #1: x(4x²-8x)......this factors to 4x²(x-2)
Expression #2: 3x(2x-6).......this factors to 6x(x-3)

LCD = 12x²(x-2)(x-3)