Question

УПРОСТИТЕ ВЫРАЖЕНИЕ
ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

$left(dfrac{3}{a-3a^{0.5}}-dfrac{a^{1.5}}{a^2-9a}right):dfrac{a^{0.5}}{a^{0.5}+3}=left(dfrac{3}{a^{0.5}(a^{0.5}-3)}-dfrac{a^{1.5}}{a(a-9)}right)cdotdfrac{a^{0.5}+3}{a^{0.5}}=$

$=left(dfrac{3}{a^{0.5}(a^{0.5}-3)}-dfrac{a^{1.5}}{a(a^{0.5}-3)(a^{0.5}+3)}right)cdotdfrac{a^{0.5}+3}{a^{0.5}}=$

$=dfrac{3a^{0.5}(a^{0.5}+3)-a^{1.5}}{a(a^{0.5}-3)(a^{0.5}+3)}cdotdfrac{a^{0.5}+3}{a^{0.5}}=dfrac{a^{0.5}(3(a^{0.5}+3)-a)}{a(a^{0.5}-3)(a^{0.5}+3)}cdotdfrac{a^{0.5}+3}{a^{0.5}}=$

$=dfrac{a^{0.5}(3a^{0.5}+9-a)cdot (a^{0.5}+3)}{a(a^{0.5}-3)(a^{0.5}+3)cdot a^{0.5}}=dfrac{3a^{0.5}+9-a}{a(a^{0.5}-3)}$