cho a=2+22+23+24+....+210
khong tinh gia tri bieu thuc a hay chung to rang a+2=211
Khong tinh gia tri hay chung to cac bieu thuc sau la hop so
A=11.13.17-137
A = lẻ - lẻ = chẵn chia hết cho 2
=> A là hợp số
cho bieu thuc a^3+2a^2-1/a^3+2a^2+2a+1
a) Rut gon bieu thuc
b)Chung minh rang neu a la so nguyen thi gia tri tim duoc cua bieu thuc o cau a) la 1 phan so toi gian
chung to rang gia tri cua bieu thuc A=5+52+53+.....+58 la boi cua 30
A=( 5+5^2)+(5^3+5^4)+(5^5+5^6)+(5^7+5^8) A=(5+5^2)+5^2.(5+5^2)+5^4.(5+5^2)+5^6(5+5^2) A=30+5^2.30+5^4.30+5^6.30 A=30.(5^2+5^4+5^6) Mà 30 chia hết cho 30 suy ra 30.(5^2+5^4+5^6) là bội của 30
cho bieu thuc A =\(\frac{a^3+2a^2-1}{a^3+2a^2+2a+1}\)
a)rut gon bieu thuc
b)chung minh rang neu a la so nguyen thi gia tri cua bieu thuc tim duoc o cau a la mot phan so toi gian
cho bieu thuc 4x. Hay ly luan de chung to bieu thuc do khong co gia tri lon nhat khong co gia tri nho nhat
cho bieu thuc A=4+4 2+4 3+...+4 23+4 24
chung minh rang a chia het cho 20, cho21
CHO bieu thuc
B=17,58*43+57*17,58/293*A
a)tim gia tri cua bieu thuc Bkhi a=2
b)tinh gia tri a khi B=2
c)tim gia tri so tu nhien ad biet bieu thuc B co gia tri lon nhat ,gia tri lon do la bao nhieu
cho bieu thuc:
A=(6-2/3+1/2)-(5+5/3-3/2)-(3-7/3+5/2)
hay tinh gia tri cua A theo hai cach
cach 1:truoc het tinh gia tri tung bieu thuc trong ngoac
cach 2:bo dau ngoac roi nhom cac so hang thich hop
C1: \(A=\left(\frac{36}{6}-\frac{4}{6}+\frac{3}{6}\right)-\left(\frac{150}{30}+\frac{50}{30}-\frac{45}{30}\right)-\left(\frac{18}{6}-\frac{14}{6}+\frac{15}{6}\right)\)
\(=\frac{35}{6}-\frac{155}{30}-\frac{19}{6}=\frac{35}{6}-\frac{31}{6}-\frac{19}{6}=-\frac{15}{6}=-2\frac{1}{2}\)
C2: \(6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)
\(=\left(6-5-3\right)-\left(\frac{2}{3}+\frac{5}{3}-\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)\)
\(=-2-0-\frac{1}{2}=-2\frac{1}{2}\)
cho A= a+a+a+...+a-99(co 99 so a) a hay tinh gia tri bieu thuc a= 1001| b tinh so tu nhien a de bieu thua a = 1990+702:(a-6) co gia tri nho nhat