Cho \(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\)và \(a+b+c\ne0\).CMR: \(\left(19a+5b+1890\right)^{2019}=1914^{2019}.a^{2018}.b\)

Cho a/b=b/c=c/d và a+b+c khác  0

tính A =a.b^2.c^2016/a^2019;                                  B=(19a+b+2100c)^2018/(a+219b)^2018

Cho \(\dfrac{a}{b}=\dfrac{c}{d}\). CMR:\(\dfrac{\left(a^{2018}+b^{2018}\right)^{2019}}{\left(c^{2018}+d^{2018}\right)^{2019}}=\dfrac{\left(a^{2019}-b^{2019}\right)^{2020}}{\left(c^{2019}+d^{2019}\right)^{2020}}\)

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9cho a,b,c thuộc N thoả mãn a/2017+ b/2018+ c/2019 = a+b+c/((2017)^2018)2019

Cmr a^2020+ b^2020+ c^2020 =0

Cho a/b =c/dbieets a,b,c,d khác 0

CM: a) (a-b/c-d)²⁰¹⁹=a²⁰¹⁹+b²⁰¹⁹/ c²⁰¹⁹+d²⁰¹⁹

b) 2a²-3ab+5b²/ 2b²+3ab= 2c²- 3cd+5d²/ 2d²+3cd 

Cho a/b=b/c=c/d(a;b;c khác 0)

Tính A=a^2018×b^2019/c^4037

có\(\frac{a}{b}=\frac{b}{c}=\frac{c}{d}\)CMR\(\frac{\left(19a+5b+1980c\right)^{2003}}{1914^{2003}.a^{2001}.b^2}\)

Cho a,b,c,d khác 0, thỏa mãn :

\(\frac{x^{2018}+y^{2018}+z^{2018}+t^{2018}}{a^2+b^2+c^2+d^2}\) =\(\frac{x^{2018}}{a^2}\)+\(\frac{y^{2018}}{b^2}\)

Tính A=x²⁰¹⁹+y²⁰¹⁹+z²⁰¹⁹+t²⁰¹⁹