a) $$\frac{21a^3b^5}{35a^4b^2} = \frac{3b^3}{5a}$$
б) $$\frac{4a^2-9}{10a+15} = \frac{(2a-3)(2a+3)}{5(2a+3)} = \frac{2a-3}{5}$$;
в) $$\frac{5m-5n}{m^2n-mn^2} = \frac{5(m-n)}{mn(m-n)} = \frac{5}{mn}$$;
г) $$\frac{x^3+1}{x^2+x} = \frac{(x+1)(x^2-x+1)}{x(x+1)} = \frac{x^2-x+1}{x}$$;
д) $$\frac{x^2+6x+9}{x^2-9} = \frac{(x+3)^2}{(x-3)(x+3)} = \frac{x+3}{x-3}$$