Trả lời
(1-1/4).(1-1/9).(1-1/16).(1-1/25).(1-1/36)
=bước này thì bỏ ngoặc thôi, nên ko ghi lại nha
=1.(-1/4-1/9-1/16-1/25-1/36)
=1.(-900-400-225-144-100/3600)
=1.-1769/3600
=-1769/3600
Chắc sai òi !
\(\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{16}\right).\left(1-\frac{1}{25}\right).\left(1-\frac{1}{36}\right)\)
\(=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.\frac{24}{25}.\frac{35}{36}\)
\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.5}.\frac{5.7}{6.6}\)
\(=\frac{1.2.3.4.5}{2.3.4.5.6}.\frac{3.4.5.6.7}{2.3.4.5.6}\)
\(=\frac{1}{6}.\frac{7}{2}\)
\(=\frac{7}{12}\)