Вправи для повторення розділу 1 » 59 (2)

2) (3/(4m^2-9) – 2m/(4m^2-12m+9)) • (8m^3-18m)/(4m^2+ 9) + 3/(2m-3). 1. 3/(4m^2- 9) – 2m/(4m^2- 12m+9) = 3/((2m-3)(2m+3)) – 2m/((2m-3)^2 ) = (3(2m-3)-2m(2m+3))/((2m-3)^2 (2m+3)) = (6m-9-4m^2-6m)/((2m-3)^2 (2m+3)) = (-(9+4m^2))/((2m-3)^2 (2m+3)); 2. (-(9+4m^2))/((2m-3)^2 (2m+3)) • (8m^3-18m)/(4m^2+9) = (-(9+4m^2 ) • 2m(4m^2-9))/((2m-3)^2 • (2m+3)(4m^2+9)) = –(2m(2m-3)(2m+3))/((2m-3)^2 (2m+3)) = –2m/(2m-3); 3. –2m/(2m-3) + 3/(2m-3) = (3-2m)/(2m-3) = (-(2m-3))/(2m-3) = –1. Значення виразу не залежить від значення змінної.