\(A=\dfrac{17^{100}+17^{96}+17^{92}+....+17^4+1}{17^{102}+17^{100}+17^{98}+....+17^2+1}\)

Gọi \(17^{100}+17^{96}+17^{92}+....+17^4+1\) là B

\(B=17^{100}+17^{96}+17^{92}+....+17^4+1\\ 17^4\cdot B=17^{104}+17^{100}+17^{96}+......+17^8+17^4\\ 17^4\cdot B-B=\left(17^{104}+17^{100}+17^{96}+......+17^8+17^4\right)-\left(17^{100}+17^{96}+17^{92}+....+17^4+1\right)\\ B\cdot\left(17^4-1\right)=17^{104}-1\\ B=\dfrac{17^{104}-1}{17^4-1}\)

Gọi \(17^{102}+17^{100}+17^{98}+....+17^2+1\) là C

\(C=17^{102}+17^{100}+17^{98}+....+17^2+1\\ C\cdot17^2=17^{104}+17^{102}+17^{100}+17^{98}+....+17^2\\ C\cdot17^2-C=\left(17^{104}+17^{102}+17^{100}+17^{98}+....+17^2\right)-\left(17^{102}+17^{100}+17^{98}+....+17^2+1\right)\\ C\cdot\left(17^2-1\right)=17^{104}-1\\ C=\dfrac{17^{104}-1}{17^2-1}\)

=>

 \(A=B:C\\ A=\dfrac{17^{104}-1}{17^4-1}:\dfrac{17^{104}-1}{17^2-1}\\ A=\dfrac{17^2-1}{17^4-1}\)

cảm ơn bạn

A = \(\dfrac{T}{M}\)

M = T + (\(17^{102}+17^{98}+17^{94}+...+17^2\))

M = T + \(17^2\left(17^{100}+17^{96}+17^{92}+...+17^0\right)\)

M = T + \(17^2\cdot\) T = T(\(1+17^2\))

=> A = \(\dfrac{T}{T\left(1+17^2\right)}=\dfrac{1}{1+17^2}\)

a: \(=\sqrt{8+2\cdot2\sqrt{2}\cdot\sqrt{5}+5}+\sqrt{8-2\cdot2\sqrt{2}\cdot\sqrt{5}+5}\)

\(=\sqrt{\left(2\sqrt{2}+\sqrt{5}\right)^2}+\sqrt{\left(2\sqrt{2}-\sqrt{5}\right)^2}\)

\(=2\sqrt{2}+\sqrt{5}+2\sqrt{2}-\sqrt{5}=4\sqrt{2}\)

b: \(=2\cdot\sqrt{17-3\sqrt{32}}\)

\(=2\cdot\sqrt{9-2\cdot3\cdot2\sqrt{2}+8}\)

\(=2\left(3-2\sqrt{2}\right)=6-4\sqrt{2}\)

4/8=1/2

15/20=3/4

11/33=1/3

18/17=18/17

\(\dfrac{4}{8}=\dfrac{1}{2};\dfrac{15}{20}=\dfrac{3}{4};\dfrac{11}{33}=\dfrac{1}{3};\dfrac{18}{17}=\dfrac{18}{17}\)

\(\dfrac{4}{8}=\dfrac{4:4}{8:4}=\dfrac{1}{2}\) ; \(\dfrac{15}{20}=\dfrac{15:5}{20:5}=\dfrac{3}{4};\dfrac{11}{33}=\dfrac{11:11}{33:11}=\dfrac{1}{3}\) ; \(\)

3^4.57+9^2.34:2^10.17

=81.57+81.34:1024.17

81.(57+34):1024.17

81.91:1024.17

7371:17408

=7371/17408

bạn nào có lòng tốt giúp mình với nha huhu nhanh chóng giúp mình nha huhu

bn ơi bn viết lại thành số cụ thể đc ko mik khó đọc 

\(a.-\dfrac{1}{2}\)

\(b.3\)

\(c.5\)

a)  5

b)  1

Rút gọn rồi tính:                                                                                                                                               \(a.\frac{16}{24}-\frac{1}{3}=\frac{2}{3}-\frac{1}{3}=\frac{1}{3}\)

\(b.\frac{4}{5}-\frac{12}{60}=\frac{4}{5}-\frac{1}{5}=\frac{3}{5}\)

Tính rồi rút gọn:

\(a.\frac{17}{6}-\frac{2}{6}=\frac{15}{6}\)

\(b.\frac{16}{15}-\frac{11}{15}=\frac{5}{15}=\frac{1}{3}\)

\(c.\frac{19}{12}-\frac{13}{12}=\frac{6}{12}=\frac{1}{2}\)

1a2/3-1/3=1/3            c4/5-1/5=3/5             tinh roi rut gon 17/6-2/6=15/6=5/2             16/15-11/15=5/15=1/3           19/12-13/12=6/12=1/2

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