tranquangthien

Cho a,b>0 và 2(a² + b²) + ab = (a+b)(ab+2)

Tìm Min: Q=

*** Cannot compile formula:
(\frac{a^{2}}{b^{2}} + \frac{b^{2}}{a^{2}}) + 4(\frac{a}{b} + \frac{b}{a}) 

*** Error message:
Error: Nothing to show, formula is empty

Chứng minh rằng:

*** Cannot compile formula:
(C_{n}^{0})^{2}+(C_{n}^{1})^{2}+...+(C_{n}^{n})^{2}=C_{2n}^{n}

*** Error message:
Error: Nothing to show, formula is empty

*** Cannot compile formula:
C_{2n}^{0}+C_{2n}^{2}+C_{2n}^{4}+..+C_{2n}^{2n}=2^{2n-1}

*** Error message:
Error: Nothing to show, formula is empty

*** Cannot compile formula:
2^{2n}C_{2n}^{0}+2^{2n-2}C_{2n}^{2}+2^{2n-4}C_{2n}^{4}+...+C_{2n}^{2n}

*** Error message:
Error: Nothing to show, formula is empty

*** Cannot compile formula:
2^{2n-1}C_{2n}^{1}+2^{2n-3}C_{2n}^{3}+2^{2n-5}C_{2n}^{5}+...+2C_{2n}^{2n-1}

*** Error message:
Error: Nothing to show, formula is empty