Question

Add or subtract 3/x-3 - 5/x-2

Answer 1

add or subtract 7/x-3 + 3/x-5

Answer 2

\[\frac{ 3 }{x-3 } - \frac{ 5 }{ x - 2 }\]

Answer 3

^ Is that correct?

Answer 4

Yes.

Answer 5

\[\frac{ 3(5) }{ (x - 3)5 } - \frac{ 5(3)}{(x - 2)5)}\]

Answer 6

^ Simplify it.

Answer 7

i don't know how to though

Answer 8

Just multiply everything by 5.

Answer 9

15/x-15 -15/x-10?

Answer 10

Okay, good. Now you can subtract the numerators and add the denominators.

Because the 15 - 15 = 0

You're left with the two denominators.

(x - 15)(x - 10) Now solve that.

Answer 11

am i adding those? x-25?

Answer 12

x * x
x * -10
-15 * x
-15 * -10

You have a binomial. You're foiling.

Answer 13

i don't understand.

Answer 14

Okay - it's easy.

If I was given the terms:

3/x - 5/x

I want to find the least common multiple (LCM)

The least common multiple of 3 and 5 is 15.

So, what do I need to multiply 3 and 5 by to get 15?
I need to multiply 3 by 5 and 5 by 3. But what I do to the numerator I must also do to the denominator to remain equality.

15/3x - 15/5x

Now the 15 - 15 = 0

So I'm left with: 3x - 5x = -2x

Simple, right?

Answer 15

Oh ok i get it now.

Answer 16

So, in this case, in the denominator we're left with x - 3 and x - 5

We need to use the FOIL method on these

(X- 3)(X - 5) Make sense?

Answer 17

Yes.

Answer 18

Okay, so multiple that out. I'll brb. When I get back I'll check your answer.

Answer 19

Neevermind i just saw that this question was entered in erroor due to the answer choices.

Answer 20

Okay. :P As always, Best Responses are appreciated.