Question

What is the least common denominator of the expression below?

x^2 + 6 / x^2 + 4x - 12 + 7x / x^2 + 7x + 6

a. x^2 + 4x + 4
b. (x + 6)
c. (x + 6)(x - 2) (x + 1)
d. (x + 6)(x - 2)(x + 6)(x + 1)

help please.

Answer 1

I'll get you started


\[\Large \frac{x^2+6}{x^2+4x-12} + \frac{7x}{x^2+7x+6}\]


\[\Large \frac{x^2+6}{(x-2)(x+6)} + \frac{7x}{x^2+7x+6}\]


\[\Large \frac{x^2+6}{(x-2)(x+6)} + \frac{7x}{(x+6)(x+1)}\]


and I'll let you finish up

Answer 2

C

Answer 3

Again, the idea is to

step 1) factor all the denominators

step 2) multiply all of the unique factors in the denominators to get the LCD

Answer 4

correct

Answer 5

:D