Cho a,b,c>0 tm a+b+c=5. \(\sqrt{a}+\sqrt{b}+\sqrt{c}=3\). 

C/m\(\dfrac{\sqrt{a}}{2+a}+\dfrac{\sqrt{b}}{2+b}+\dfrac{\sqrt{c}}{2+c}=\dfrac{4}{\sqrt{\left(a+2\right)\left(b+2\right)\left(c+2\right)}}\)

Cho a,b,c tm a+b+c=\(\sqrt{2019-\sqrt{4037}}-\sqrt{2019+\sqrt{4037}}+\sqrt{2}\). Tính

\(A=a^3+a^2c-abc+b^2c+b^3+20182019\)

Cho a,b,c khác 0 và đôi 1 khác nhau t/m a+b+c=0. Tính

A=\(\left(\dfrac{a-b}{c}+\dfrac{b-c}{a}+\dfrac{c-a}{b}\right)\left(\dfrac{c}{a-b}+\dfrac{a}{b-c}+\dfrac{b}{c-a}\right)\)

Cho a,b,c nguyên khác 0 t/m \(\dfrac{5b+2c\left(4+c^6\right)}{a+b+c}=1\). C/m \(a^7+3b^7-2c⋮7\)

x+48.75-18.75*2=48.75