<PRE><B>Question 106371</B>
2    -   3
___      ___

5w+10   2w-4
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Factor the denominators:

[2/(5(w+2)] - [3/(2(w-2)]

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You need a common denominator.
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The least common denominator (lcd) is 10(w+2)(w-2)
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Rewrite each fraction with the lcd as its denominator:
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[2*2(w-2)]/lcd - [3*5(w+2)]/lcd

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Since the denominators are now the same you work with the numerators:

= [4(w-2)-15(w+2)]/lcd

Simplify the numerator:

= [-11w-38]/[10(w+2)(w-2)

This could be written as:

= [-11w-38]/[10(w^2-4)]

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Cheers,
Stan H.</PRE>