Question

\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)....\left(\frac{1}{2015}-1\right)\left(\frac{1}{2016}-1\right)\)

Answer 1

=\(\left(\frac{-1}{2}\right)\left(\frac{-2}{3}\right).....\left(\frac{-2014}{2015}\right)\left(\frac{-2015}{2016}\right)\)

=\(\frac{-1.-2.-3......-2014.-2015}{2.3.4......2015.2016}\)

=\(\frac{1}{2016}\)

Chúc bạn học tốt !

Answer 2

\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right).....\left(\frac{1}{2015}-1\right)\left(\frac{1}{2016}-1\right)\)

=\(\frac{-1}{2}.\frac{-2}{3}......\frac{-2014}{2015}.\frac{-2015}{2016}\)

=\(\frac{1}{2016}\)(ta rút gọn tích)

k cho mình nha!