Name:			Date:
Adding and Subtracting Rational Expressions.

1) $\frac{p+10q}{9p^4{q}^4}-\frac{p-10q}{9p^4{q}^4}$	2) $\frac{2a+b}{8ab}-\frac{7a+b}{8ab}$
3) $\frac{5c-6}{16c+10}+\frac{4c}{10c+10}$	4) $\frac{10c-10}{6c^4+3c^3}+\frac{2c-9}{6c^4+3c^3}$
5) $\frac{3y-6}{y^2-y-7}+\frac{4y+2}{y^2-y-7}$	6) $\frac{5a-10}{3a^3+10a^2}-\frac{a+2}{3a^3+10a^2}$
7) $\frac{2a-5}{2a^3+30a^2}+\frac{a-2}{2a^3+30a^2}$	8) $\frac{6}{b-2}-\frac{3}{3b+1}$
9) $\frac{4}{b+5}-\frac{8b}{2b+1}$	10) $\frac{2c}{c+5}-\frac{2c}{c+7}$
11) $\frac{10y}{y+7}-\frac{10y}{y+10}$	12) $\frac{9}{y-10}+\frac{4}{y+4}$
13) $\frac{c-5}{5c^6-15c^5-140c^4}+4c$	14) $\frac{3a}{a+2}-\frac{3a}{a+3}$
15) $\frac{2x}{x^2+9x-4}-\frac{3}{10}$	16) $\frac{6}{c+2}-\frac{10c}{3c+1}$

 

Answers:

1) $\frac{20}{9p^4{q}^3}$	2) $\frac{-5}{8b}$
3) $\frac{9c-6}{16c+10}$	4) $\frac{12c-19}{6c^4+3c^3}$
5) $\frac{7x-4}{y^2-y-7}$	6) $\frac{4a-12}{3a^3+10a^2}$
7) $\frac{3a-7}{2a^3+30a^2}$	8) $\frac{15b+12}{(b-2)(3b+1)}$
9) $\frac{-32b+4-8b^2}{(b+5)(2b+1)}$	10) $\frac{4c}{(c+5)(c+7)}$
11) $\frac{30y}{(y+7)(y+10)}$	12) $\frac{13y-4}{(y-10)(y+4)}$
13) $\frac{20c^7-60c^6-56c^5+c-5}{5c^4(c+4)(c-7)}$	14) $\frac{3a}{(a+2)(a+3)}$
15) $\frac{-7x-3x^2+12}{10(x^2+9x-4)}$	16) $\frac{-2c+6-10c^2}{(c+2)(3c+1)}$