Đặt \(d=\left(6n+5,3n+2\right)\).
Suy ra \(\hept{\begin{cases}6n+5⋮d\\3n+2⋮d\end{cases}}\Rightarrow\left(6n+5\right)-2\left(3n+2\right)=1⋮d\Rightarrow d=1\).
Do đó ta có đpcm.
Các câu hỏi tương tự
Chung minh rang moi phan so dang n+1/2n+3 ( n thuoc N ) deu la phan so toi gian.
Chung minh rang voi n thuoc N*, cac phan so toi gian.
a) 3n-2/4n-3 b) 4n+1/6n+1
Lam day du ho minh nhe! Cam on moi nguoi nhieu!
cho A = 3N+2/6N+3
A TIM N DE a LA PHAN SO
b chung to A la phan so toi gian voi moi n thuoc N
Giup to bai nay voi : Chung minh voi n thuoc N sao phan so sau la phan so toi gian 4n+1/6n+1
Cau 1: Chung minh rang cac phan so sau la phan so toi gian voi moi so nguyen?
a, 8n + 5 phan 6n + 4 b, n + 1 phan 2n + 3 c, 2n + 3 phan 3n + 5
Cau 2: Tim tat ca cac so tu nhien n de phan so sau la toi gian
a, n + 13 phan n - 2. b, 18n + 3 phan 21n + 7
Ai giai day du va nhanh thi mk se tick cho
chung minh rang phan so 5n+4/6n+9 la toi gian
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chung minh rang : Voi moi n thi phan so 7n+4/5n+3 la phan so toi gian .
chung minh 5n+3/3n+2la phan so toi gian (n thuoc Z)