\(\text{a)}\)\(A=1998.1998=1998.\left(1996+2\right)\)

\(A=1998.1996+1998.2\)
\(B=1996.2000=1996.\left(1998+2\right)\)

\(B=1996.1998+1996.2\)

\(\Rightarrow A>B\)

b) Tương tự nha bn

Ta có:

\(2011.2010-2000\)

\(=\left(2009+2\right).2010-2000\)

\(=2009.2010+2.2010-2000\)

\(=2009.2010+4020-2000\)

\(=2009.2010+2020>2009.2010+2000\)

\(\Rightarrow2009.2010+2000< 2011.2010-2000\)

505,374285

hk tốt!!

Đ/S = 1011

mình nhầm HK tốt!!!

ta có: A = 1990 x 2010 + 1 = 1990 x 2000 + 1990 x 10 + 1 = 1 990 x 2000 + 19 900 + 1

B = 2000 x 2000 + 1 = 2000 x 1990 + 2000 x 10 +1 = 2000 x 1990 + 20 000 + 1 > 1 990 + 2000 + 19 000 + 1

=> A < B

a) \(\frac{47}{32}>\frac{36}{46}\)Vì phân số \(\frac{47}{32}>1;\frac{36}{46}< 1\)nên \(\frac{47}{32}>\frac{36}{46}\)

b) \(\frac{199}{200}< \frac{200}{201}\)Vì \(\frac{199}{200}=\frac{199.201}{200.201};\frac{200}{201}=\frac{200.200}{201.200}\)

ta so sánh 199.201 và 200.200 

199.201 = 199.(200+1) = 199.200+199

200.200 = 200.(199+1) = 200.199+200

Vì 199.200 + 199 < 200.199+200 nên \(\frac{199}{200}< \frac{200}{201}\)

c) \(\frac{2012.2010}{2011.2011}=\frac{\left(2011+1\right).2010}{2011.\left(2010+1\right)}=\frac{2011.2010+2010}{2011.2010+2011}\)

\(\frac{2013.2009}{2014.2008}=\frac{2013.\left(2008+1\right)}{\left(2013+1\right).2008}=\frac{2013.2008+2013}{2013.2008+2008}\)

ta so sánh : \(\frac{2010}{2011}< \frac{2013}{2008}\) vì \(\frac{2010}{2011}< 1;\frac{2013}{2008}>1\)

a) A>B

 tíc mình nha

A > B

k minh nha

1 a, \(A=1998.1998=1998^2\)

     \(B=1996.2000=\left(1998-2\right).\left(1998+2\right)=1998^2-4\)

Vì \(1998^2>1998^2-4\)

\(\Rightarrow A=1998.1998>B=1996.2000\)

Vậy A>B

b, \(A=2000.2000=2000^2\)

   \(B=1990.2010=\left(2000-10\right).\left(2000+10\right)=2000^2-10\)

Vì \(2000^2>2000^2-10\)

\(\Rightarrow A=2000.2000>B=1990.2010\)

Vậy A>B 

1) 2^x x 4 = 126

=> 2^x = 126 : 4

=> 2^x = 32 = 2⁵ => x = 5

Vậy x = 5

2) a, Ta có:

1998 × 1998 = (1996 + 2) × 1998 = 1996 × 1998 + 2 × 1998

1996 × 2000 = 1996 × (1998 + 2) = 1996 × 1998 + 1996 × 2

Vì 2 × 1998 > 1996 x 2 => 1998 × 1998 > 1996 × 2000

b, Ta có:

2000 × 2000 = (1990 + 10) × 2000 = 1990 × 2000 + 10 × 2000

1990 × 2010 = 1990 × (2000 + 10) = 1990 × 2000 + 1990 × 10

Vì 10 × 2000 > 1990 × 10 => 2000 × 2000 > 1990 × 2010