SOLUTION: Solve Subtract and simplify if possible d/s+d-d/s-d To me it appears that the solution would be 0 can you show me how to figure this out step by step, Thank you

Question 328444: Solve
Subtract and simplify if possible
d/s+d-d/s-d
To me it appears that the solution would be 0 can you show me how to figure this out step by step, Thank you
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You know, parentheses are rather cheap. Use them liberally so that we don't have to guess what you mean. I'm going to go out on a limb here and interpret your expression as:

To the extent that is a correct interpretation, you should have rendered it as (d/(s + d)) - (d/(s - d)).

Let's look at your supposition that this expression evaluates to 0. If that is true, then

MUST be equal to

which can only be true if

which, in turn, can only be true if

. But since nothing in your problem statement would allow us to restrict the value of

to zero, your supposition about the value of your original expression is incorrect.

The process of adding two fractions involves applying the Lowest Common Denominator. Since the two denominators have no common factors, the LCD must be the product of the two denominators, namely

Applying the LCD we get:

Combining terms (remembering to distribute the minus sign between the two fractions):

John

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