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b+3 / ab
b. 2/(x+2) + 3/(x-4)
= (2(x-4) + 3(x+2)) / (x+2)(x-4)
= (2x-8+3x+6) / (x+2)(x-4)
= (5x-2)/(x+2)(x-4)
c. 12/(x^2-81) -4/(x-9)
= 12/(x+9)(x-9) - 4/(x-9)
= 12/(x+9)(x-9) -4(x+9)/(x-9)(x+9)
= [12-4(x+9) ]/ (x-9)(x+9)
d. 1/x-5 - 2/x+3
= [(x+3)-(2(x-5)] / (x-5)(x+3)
= (x+3-2x+10) / (x-5)(x+3)
= (x+13)/(x-5)(x+3)