SOLUTION: I'll try writing this again. 1/ pi(T-5)- 3/ pi(T+5)= Again I think the lower figures cancel each other out, (T-5) and (T+5)?

Question 236233: I'll try writing this again.
1/ pi(T-5)- 3/ pi(T+5)=
Again I think the lower figures cancel each other out, (T-5) and (T+5)?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
In what way would t+5 and t-5 ever cancel each other? The only time expressions cancel each other are:

when they make a zero when adding or subtracting; or
when they make a one when multiplying or dividing

t+5 and t-5 would not make a zero or a one under any circumstances.

What needs to be done in your problem is to combine the fractions. And to subtract fractions we need common denominators. To find the common denoinator we need the denominators factored. Fortunately your denominators are already factored. The Lowest Common Denominator (LCD) is the product of all the different factors: . So we will start by multiplying the numerator and denominator of each fraction by the parts of the LCD its denominator is missing:

which gives us:

We leave the denominators factored for now so that, after we subtract, we can more easily reduce the fraction. Now we subtract. Note that both terms of the second fraction must be subtracted so when we subtract -15 we end up adding +15:

Now we factor the numerator to see is there are common factors we can cancel:

This has no common factors to cancel so the fraction cannot be reduced. Since simplified fractions we usually preferred, we will multiply out the numerator and denominator:

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