Chung minh rang a thuoc Z thi a ( a+2) - a ( a-5) -7 la boi cua 7
Chung minh rang a thuoc Z thi a (a+2) - a(a-5)-7 la boi cua 7
\(a\left(a+2\right)-a\left(a-5\right)-7=a^2+2a-a^2+5a-7\)
\(=\left(a^2-a^2\right)+\left(2a+5a\right)-7\)
\(=7a-7\)
\(=7\left(a-1\right)⋮7\) (đpcm)
\(a\left(a+2\right)-a\left(a-5\right)-7=a^2+2a-a^2-5a-7\)
\(=\) \(\left(a^2-a^2\right)-\left(2a+5a\right)-7\)
\(=7a-7\)
\(=7\left(a-1\right)\)\(⋮\)\(7\)( đpcm)
\(a\left(a+2\right)-a\left(a-5\right)-7=a^2+2a-a^2-5a-7\)
\(=\) \(\left(a^2-a^2\right)-\left(2a+5a\right)-7\)
\(=7a-7\)
\(=7\left(a-1\right)\)\(⋮\)\(7\)( đpcm)
Chung minh rang A thuoc Z thi a ( a+2 ) - a ( a-5) -7 a boi cua 7
Giup minh nhe
Chung minh rang a thuoc z thi a(a+2) - a(a-5)-7 la B(7)
1------- cho x,y thuoc Z .Cm rang 5x+ 47y la Boi cua 17 khi va chi khi x+6y la boi cua 17
2------- chung minh rang voi moi a thuoc Z ta co
a- (a -1)(a-2)+12 ko chia het cho 9
b- (a+2)(a+9)+21 ko chia het cho 49
CMR neu a thuoc Z thi:
M=a(2+a)-(a-5)-7 la boi cua 7
N=(a-2)(a+3)-(a-3(a+2) la so chan
Giup minh voi minh dang gap lam
Chung minh rang
a) A=5+5^2+5^3+...+5^8 la boi cua 30
b) B=3+3^2+3^3+...+3^9 la boi cua 273
HELP ME !
Chung minh rang a€ z
P=a.(a-5)-a.(a+8)-13 la boi cua 13
Mong may ban giup minh ai tra loi nhanh minh tick nha
P=a(a-5)-a(a+8)-13 chia hết cho 13
=>a(a-5)-a(a+8) chia hết cho 13
=>a^2-5a-a^2-8a chia hết cho 13
=>-(5a+8a) chia hết cho 13
=>-13a chia hết cho 13
=>a chia hết cho 13
=>a là số nguyên
P = a(a - 5) - a(a + 8) - 13 = a(a - 5 - a - 8) - 13 = -13a - 13 = 13(-a - 1) chia hết cho 13
goi a la tap hop boi chung cua a , b
goi b la tap hop uoc chung cua 13 a + 8b va 5 a+3b
chung minh rang a=b
chung minh rang neu 2 so a,b la 2 so nguyen khac 0 va a la boi cua b;b la boi cua a thi:a=b hoac a=-b
giup mk nhe mk can gap