Вправи 101 - 200 » 175 (2-4)

2) (a- (6a-9)/a)/(1- 3/a) = (a^(\a)/1- (6a-9)/a)/(1^(\a)/1- 3/a) = (a^2- (6a-9))/a : (a-3)/a = (a^2- 6a+9)/a : (a-3)/a = ((a-3)^2 • a)/(a • (a-3)) = a – 3; 3) 1/(1- 1/(1+ 1/a)) = 1/(1- 1/((a+1)/a)) = 1/(1^(\a+1)- a/(a+1)) = 1/((a+1-a)/(a+1)) = 1: 1/(a+1) = a + 1; 4) ((2a-b)/b+ 1^(\b))/( (2a+b)/b- 1^(\b) ) = (2a-b+b)/b : (2a+b-b)/b = 2a/b : 2a/b = 1.