Cho A = 1/5 + 1/6 + 1/7 + 1/8 + 1/9.
Khong thuc hien phep ting , hay so sanh gia tri cua A voi1
cho 2 bieu thuc:A=101 x50 ;B= 50x49+53x50
khong thuc hien tinh hay su dung tinh chat cua phep tinh de so sanh gia tri so cua A va B
khong thuc hien phep nhan hay nhan xet xem moi tich sau tan cung boi chu so nao ?
a, 1 2 3 4 5 6 7 8 9
b, 1 3 5 7 9 11
khong tinh gia tri cua bieu thuc hay so sanh:
a. 1717/8585 va 1313/5151
b. 9^8*5^16 và 19^20
khong thuc hien phep tinh hay cm rang A chia het cho B biet rang
A=(x+1)(x+3)(x+5)(x+7)+15 va B = x+6
\(A=\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x+7\right)+15\)
\(A=\left[\left(x+1\right)\left(x+7\right)\right]\left[\left(x+3\right)\left(x+5\right)\right]+15\)
\(A=\left(x^2+8x+7\right)\left(x^2+8x+15\right)+15\)
Đặt \(a=x^2+8x+11\)
\(\Rightarrow A=\left(a-4\right)\left(a+4\right)+15\)
\(\Leftrightarrow A=a^2-16+15\)
\(\Leftrightarrow A=a^2-1\)
Thay a vào A ( :v ) ta có :
\(A=\left(x^2+8x+11\right)^2-1\)
\(A=\left(x^2+8x+11+1\right)\left(x^2+8x+11-1\right)\)
\(A=\left(x^2+8x+12\right)\left(x^2+8x+10\right)\)
\(A=\left(x^2+2x+6x+12\right)\left(x^2+8x+10\right)\)
\(A=\left[x\left(x+2\right)+6\left(x+2\right)\right]\left(x^2+8x+10\right)\)
\(A=\left(x+6\right)\left(x+2\right)\left(x^2+8x+10\right)⋮x+6\left(đpcm\right)\)
khong tinh gia tri bieu thuc hay so sanh 9 mu 8 nhan 5 mu 16 va 19 mu 20
Khong thuc hien phep tinh cong , hay so sanh tong M = 21/23 + 12/37 voi N = 57/59 + 3/8.
cho tong n = 10x10x10x10x10 +71 khong thuc hien phep chia cho 9 ,hay giai thich xem tong tren co chia het cho 9 hay khong .neu so hang thu 1 = 1999 thua 10 co chia het cho 9 hay khong ,tai sao giup minh voi
Ta có:n=10x10x10x10x10+71
Suy ra tổng trên sẽ có những số:1,7,1
Vậy tổng n chia hết cho 9(Vì 1+7+1=9 chia hết cho 9)
Khong thuc hien phép tinh hay so sanh gia tri biểu thuc sau: a) 1010 x 1012 1009 x 1013
b) A = 650 + 2009 x 2008 va B = 2010 x 2008 - 1750
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: \(6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)
\(=\left(6-5-3\right)-\left(\frac{2}{3}+\frac{5}{3}-\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)\)
\(=-2-0-\frac{1}{2}=-2\frac{1}{2}\)