упростите выражение (3/(c+3c^1/2) + c/(9-c) : c^3/2/((3c^1/2) -c))^-2

Ответ:

c

Пошаговое объяснение:

(3/(c+3c^(1/2)) +c/(9-c) ÷(c^(3/2))/(3c^(1/2) -c))⁻²=(3/(c^(1/2) ·(c^(1/2) +3)) +c/(9-c) ·(c^1/2) ·(3-c^(1/2))/c^(3/2))⁻²=(3/(c^(1/2) ·(c^(1/2) +3)) +c/((3-c^1/2)(3+c^(1/2)) ·(3-c^(1/2))/c))⁻²=(3/(c^(1/2) ·(c^(1/2) +3)) +1/(3+c^(1/2))⁻²=((3+c^(1/2))/(c^(1/2) ·(c^(1/2) +3)))⁻²=(1/c^(1/2))⁻²=(c^(1/2))²=c