Respuesta :

The simplest expression she can use to do this is the LCD

To find it we first need to factor all the denominators

So

(4x+24)=4(x+6)

(5)=5

(x^2 -36) = (x+6)(x-6)

So LCD is 5*4*(x+6)(x-6), which is the simplest

First, I don’t recommend multiplying by a common denominator as the first step, but in this case, it’s not a big deal.
The point of multiplying by a common denominator is to get rid of the “fractions.” Piper will need to multiply by something that divides 4x + 24, 5, and x^2 - 36 to get rid of all the fractions. Factoring each of those:
4x + 24 = 4(x + 6)
5 = 5
x^2 - 36 = (x + 6)(x - 6)
From this, it’s obvious that the simplest common denominator necessary is 4 * 5 * (x + 6)(x - 6).

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