Question

Simplify.

Answer 1

\[\frac{ x+1 }{ x^2+x-12 }-\frac{ x-3 }{ x^2+7x+12 }\]

Answer 2

x^2 + x − 12= (x-3)(x+4)
x^2 + 7x + 12= (x-3)(x-4)

Answer 3

x^2+7x+12=(x+3)(x+4)

Answer 4

*

Answer 5

What is the LCM?

Answer 6

How to proceed

Answer 7

When you factored the 2nd one should be (x+3) (x+4)

Answer 8

right I fixed that already (typo)

Answer 9

So then you find the least common denominator

Answer 10

I ended up getting (-2(x-6))/(x+3)(x-3)(x+4)

Answer 11

Do you know how to find the LCD?