<PRE><B>Question 115605</B>
2 OVER 5w + 10 MINUS 3 OVER 2w - 4 
-------------------------
2/(5w+10) - 3/(2w-4)

= 2/(5(w+2)) - 3/(2(w-2)]

Least common denominator: 2*5(w+2)(w-2)

Write each fraction with the lcd as its denominator:

=[2*2(w-2)]/lcd - [3*5(w+2)]/lcd

=Combine the fractions:

[4(w-2)-15(w+2)]/lcd

[-7w-38]/lcd

= [-7w-38]/[10(w^2-4)]

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3 OVER x squared + 4x + 3 MINUS 1 OVER x squared - 9

3/(x^2+4x+3) - 1/(x^2-9)

= 3/[(x+3)(x+1)] - 1/(x-3)(x+3)

lcd = (x+1)(x+3)(x-3)

Rewrite each fraction over the lcd

= [3(x-3) - (x+1)]/lcd

Combine the fractions:

= [3x-9 - x-1]/lcd

= [2x-8]/lcd

= [2(x-4)]/[(x+1)(x^2-9)]
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Cheers,
Stan H.

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