Question

Find the Lcd of X/(X-7), X/(X+7)

Answer 1

When you have 2 fractions, one way to get the LCD is by multiplying the denominators:
\[1/4 - 1/3\rightarrow 3/12 - 4/12=-1/12\] The same principle applies: \[x/(x-7) (spacebar) x/(x+7)\rightarrow (x(x+7)(spacebar)x(x-7))/(x+7)(x-7)\]
Factor that out, and you'll have a common denominator, and what the numerator is, for both equations. From then, you can add or subtract (whichever is needed).

Answer 2

Thank you so much for taking the time to help me out!
I factored everything out, and came up with this answer.
\[\frac{ x^2+7x }{ x^2-49 }, \frac{ x^2-7x }{ x^2-49 }\]
what can I do from this point?

Answer 3

From then, since we just wanted the GCF, we can't do anything else.

Answer 4

because there are no addition or subtraction signs, we can't do anything from there.