CMR nếu a/b=c/d thì a^2016+3b^2016/c^2016+3d^2016=(a^2+2b^2/c^2+2d^2)^1008

Chứng minh rằng nếu\(B:\frac{a^{2016}+3b^{2016}}{c^{2016}+3d^{2016}}=\left(\frac{a^2+2b^2}{c^2+2d^2}\right)^2\)

Chứng minh rằng nếu a/b=c/d^{\(a,\frac{a^2+2c^2}{b^2+2d^2}=\left(\frac{a+3c}{b+3d}\right)^2\)}                \(\frac{a^{2016}+3b^{2016}}{c^{2016}+3d^{2016}}=\left(\frac{a^2+2b^2}{c^2+2d^2}\right)^2\)

cho 4 số a,b,c,d > o thỏa mãn a^4/b+c^4/d=1/b+d và a^2+c^2=1. chứng minh rằng a^2016/b^1006+c^2016/d^1008=2/(b+d)^1008

Cho a/b=c/d Chứng minh rằng 

a) a+2c/b+2d= a-3c/b-3d

b) (a-c)⁴/(b-d)⁴ 

c) a²⁰¹⁶+c²⁰¹⁶/b²⁰¹⁶= (a-c)²⁰¹⁶/(b-d )²⁰¹⁶

Cho a,b,c,d\(\in\)N* ,a²+c²=1 và \(\frac{a^4}{b}+\frac{c^4}{d}=\frac{1}{b+d}\)CMR:

\(\frac{a^{2016}}{b^{1008}}+\frac{c^{2016}}{d^{1008}}=\frac{2}{\left(b+d\right)^{1008}}\)

cho x^2/a^2 + y^2/b^2 + z^2/c^2 =x^2+y^2+z^2/a^2+b^2+c^2 

CMR x^2016/a^2016 + y^2016/b^2016 +z^2016/c^2016 = x^2016+y^2016+z^2016/a^2016+b^2016+c^2016 

a^2016+b^2016+c^2016=a^1008. b^1008+b^1008. c^1008+c^1008. a^1008.

Tính A=(a-b)^3+(b-c)^4+(c-a)^2015

CHO A/B=C/D CHỨNG MINH RẰNG 
\(\frac{\left(a-c\right)^4}{\left(b-d\right)^4}=\frac{5a^4+7c^4}{5b^4+7d^4}\)
\(\frac{a+2c}{b+2d}=\frac{a-3c}{b-3d}\)
\(\frac{a^{2016}+c^{2016}}{b^{2016}+d^{2016}}=\frac{\left(a-c\right)^{2016}}{\left(b-d\right)^{2016}}\)
AI LÀM ĐƯỢC CÂU NÀO CŨNG ĐC,GIÚP MÌNH VS GẤP LẮM,THANKS