Question

Rút gọn biểu thức: A=2^2/1.3.3^2/2.4.4^2/3.5.5^2/4.6.....99^2/98.100

Answer 1

Ta có: \(A=\frac{2^2}{1.3}.\frac{3^2}{2.4}.\frac{4^2}{3.5}.....\frac{99^2}{98.100}\)

\(A=\frac{\left(2.3.4.5.....99\right).\left(2.3.4.5.....99\right)}{\left(1.2.3.4.....98\right).\left(3.4.5.6.....100\right)}\)

\(A=\frac{99.2}{100}=\frac{99}{50}\)

Học tốt!!!!