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Reduce answers to lowest terms.

1.) 2x/2x^2+5x-3 + 5/x^2-9 =
2.) x-3/12x^3-18x^2 - x+1/16x^2-24x =
3.) 2x/x^2-2x-15 - x-2/3x^2+9x =

2 answers

Use parentheses to isolate numerators and denominators. For example,
3.) 2x/(x^2-2x-15) - (x-2)/(3x^2+9x)
= 2x/[(x-5)(x+3)] + (x-2)/[3x(x+3)]
= [1/(x+3)][2x/(x-5) + (x-2)/(3x)]
2/a-b+3/a+b