3/x - 5/ x+2 =?

## 3 over x minus 5 over x plus 2

# 3 Answers

Anton, for this kind of problem you have to use parentheses, to avoid double reading!!

So, if second denominator is "x + 2" , then 3/x - 5/(x+2) ....

3 5

—— – ———— =

x x + 2

the LCD is x(x + 2)

3(x + 2) 5x

————— – ————— =

x(x + 2) x(x + 2)

3x + 6 – 5x

—————— =

x^{2} + 2x

** 6 – 2x **

** ————— **

** x ^{2}**

**+ 2x**

3/x-5/x = -2/x (Simplify like terms)

-2/x + 2 =? This is your answer. You could multiply 2 by x/x and combine the numerators

(-2+2x)/x

It would be a different problem if this were an equation = 0. But as you have it written, it is an expression.

3/x -5/x +2

Common denominator is x.

= -2/x + 2/1

Common denominator is x.

0/x.

Anything divided by, or into, 0... = 0 (zero)

## Comments

-2/x + 2/1 = -2/x + 2x/x = (2x-2)/x, NOT 0!

Comment