How do you simplify this? HELP

Question

anonymous · Answer

$$\frac{ 1 }{ 2x+3 }+\frac{ 1 }{ x-1 }$$

kkutie7 · Answer

I would start by getting a common denominator.
do you know how to do that?

anonymous · Answer

I tried and I wasn't sure if I had to...foil or...it just didn't work

anonymous · Answer

$$\frac{ (x-1) }{ (2x+3)(x-1) } + \frac{ (2x-3) }{ (2x+3)(x-1)}$$

$$\frac{ (x-1) + (2x-3) }{ (2x+3)(x-1) }$$

kkutie7 · Answer

you basically do that^ cross multiply. there is something you can get rid of in that last equation... can you see it?

jdoe0001 · Answer

the LCD will be, if not easily findable, teh product of the denominators, and then you can simplify it later on

jdoe0001 · Answer

$\bf \cfrac{ 1 }{ 2x+3 }+\cfrac{ 1 }{ x-1 }
\ \quad \
 \cfrac{[{\color{brown}{ (2x+3)(x-1)}} \div (2x+3)\cdot 1]\quad +\quad [{\color{brown}{ (2x+3)(x-1)}}\div (x-1)\cdot 1]}{{\color{brown}{ (2x+3)(x-1)}}}$

anonymous · Answer

Thank you guys!!