Вправи 101 - 200 » 171 (2-3)

2) (8a/(4- a^2 ) – (a-2)/(a+2)) : (a+2)/a + 2/(a-2) = –1. 1. (-8a^(\1))/((a-2)(2+a)) – (a- 2^(2-a))/a + (-8a-(a-2)^2)/((a-2)(2+a)) = (-8a-(a^2- 4a+4))/((a-2)(2+a)) = (-8- a^2+ 4a-4)/((a-2)(2+a)) = (-a^2- 4a-4)/((a-2)(2+a)) = (-(a+2)^2)/((a-2)(2+a)) = –(a+2)/(a-2); 2. –(a+2)/(2-a) • a/(a+2) = –a/(a-2); 3. (-a)/(a-2) + 2/(a-2) = (-a+2)/(a-2) = (-(a-2))/(a-2) = –1; 3) (3/(36- c^2 ) + 1/(c^2- 12c+36)) • ((c-6)^2)/2 + 3c/(c+6) = 2. 1. (-3^(\c-6))/((c-6)(c+6)) + 1^(\c+6)/((c-6)^2 ) = (-3(c-6)+ (c+6))/((c-6)^2 (c+6)) = (-3c+18+c+6)/((c-6)^2 (c+6)) = (-2c+24)/((c-6)^2 (c+6)) = (-2(c-12))/((c-6)^2 (c+6)); 2. (-2(c-12))/((c-6)^2 (c+6)) • ((c-6)^2)/2 = (-(c-12))/(c+6); 3. (-c+12)/(c+6) + 3c/(c+6) = (2c+12)/(c+6) = (2(c+6))/(c+6) = 2.