\(\left(1-\frac{1}{6}\right)\times\left(1-\frac{1}{7}\right)\times\left(1-\frac{1}{8}\right)\times\left(1-\frac{1}{9}\right)\times\left(1-\frac{1}{10}\right)\)

\(=\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\times\frac{9}{10}\)

\(=\frac{5\times6\times7\times8\times9}{6\times7\times8\times9\times10}\)

\(=\frac{5}{10}\)

\(=\frac{1}{2}\)

Đường Quỳnh Giang 50 giây trước (19:06)
Thống kê hỏi đáp
 Báo cáo sai phạm

(1−16 )×(1−17 )×(1−18 )×(1−19 )×(1−110 )

=56 ×67 ×78 ×89 ×910 

=5×6×7×8×96×7×8×9×10 

=510 

(1-1/6)×(1-1/7)×(1-1/8)×(1-1/9)×(1-1/10)

=(6/6-1/6)×(7/7-1/7)×(8/8-1/8)×(9/9-1/9)×(10/10-1/10)

=5/6×6/7×7/8×8/9×9/10

=5/10 

(Bạn gạch đi những số giống nhau nha)

Ví dụ:5/6×6/7=5/7(gạch bỏ số 6)

(x+1)^2=(x+1)^0=1

suy ra x+1 = -1 hoặc 1

suy ra x bằng -2 hoặc 0

(x+1)²=(x+1)⁰

(x+1)²=1

\(\Rightarrow\hept{\begin{cases}x+1=1\\x+1=-1\end{cases}}\)\(\Rightarrow\hept{\begin{cases}x=0\\x=-2\end{cases}}\)

Cái đề bài k hỉu j luôn sao lại bằng 1 và 1/3 !!

( 1/3 + 1/15 + 1/35 + 1/63 ) * x = 1 + 1/3

( 1/1x3 + 1/3x5 + 1/5x7 + 1/7x9 ) * x = 1 +1/3

1/2 x ( 2/1x3 + 2/3x5 + 2/5x7 + 2/7x9 ) * x = 1 + 1/3

 1/2 x ( 1/1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 ) * x = 1 + 1/3

1/2 x ( 1 - 1/9 ) * x = 4/3

1/2 x 8/9 * x = 4/3

4/9 * x = 4/3

x = 4/3 : 4/9

x = 9/3

x =3 

Vậy x = 3

......................?

mik ko biết

mong bn thông cảm 

nha ................

      \(\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{1}{2}-\frac{1}{3}+-\frac{1}{6}\right)\)

\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)

\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)

\(=\left(\frac{10}{99}+\frac{11}{199}-\frac{12}{299}\right)\times0\)

\(=0\)

\(=\frac{32+16+8+4+2+1}{64}=\frac{63}{64}\)

\(\frac{1}{\sqrt{a}+\sqrt{a+1}}=\frac{\sqrt{a+1}-\sqrt{a}}{\left(\sqrt{a}+\sqrt{a+1}\right)\left(\sqrt{a+1}-\sqrt{a}\right)}=\frac{\sqrt{a+1}-\sqrt{a}}{a+1-a}=\sqrt{a+1}-\sqrt{a}\Rightarrow\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+.......+\frac{1}{\sqrt{99}+\sqrt{100}}=-1+\sqrt{2}-\sqrt{2}+\sqrt{3}-......-\sqrt{99}+\sqrt{100}=10-1=9\)