Question

Rút gọn:

\(\frac{1^2}{2^2-1}.\frac{3^2}{4^2-1}.\frac{5^2}{6^2-1}...\frac{99^2}{100^2-1}\)

Answer 1

=1.1.3.3.5.5...99.99/1.3.3.5.5.7.....99.101

=(1.3.5..99/1.3.5....99).(1.3.5....99/3.5.7...101)

=1.1/101

=1/101

Answer 2

=1.1.3.3.5.5...99.99/1.3.3.5.5.7.....99.101

=(1.3.5..99/1.3.5....99).(1.3.5....99/3.5.7...101)

=1.1/101

=1/101

Answer 3

\(=\frac{1}{101}\)