Question

So sanh:

a) = 2002 x 2002 ;    b) 2000 x 2004

 

Answer 1

a)

A = 2002 x 2002

A = ( 2000 + 2 ) x 2002

A = 2000 x 2002 + 2 x 2002

b)

B = 2000 x 2004

B = 2000 x ( 2002 + 2 )

B = 2000 x 2002 + 2 x 2000

Vậy A > B

Answer 2

ta có 2002*2002=(2000+2)*2002=2000*2002+2002*2=2000*2002+4004

2000*2004= 2000*(2002+2)=2000*2002+2000*2=2000*2002+4000

          vì 4004>4000

          =>a>b

Answer 3

2002 x 2002

= (2000 + 2) x 2002

= 2000 x 2002 + 2 x 2002

2000 x 2004

= 2000 x (2002 + 2)

= 2000 x 2002 + 2000 x 2

Mà 2000 x 2002 + 2 x 2002 > 2000 x 2002 + 2000 x 2 => a > b

Answer 4

a) = \(2002\cdot2002\)

a = \(2002\cdot\left(2002+2\right)\)

a = \(2002\cdot2000+2002\cdot2\)

a = \(2002\cdot2000+4004\)

b) = \(2000\cdot2004\)

b = \(2000\cdot\left(2002+2\right)\)

b = \(2000\cdot2002+2000\cdot2\)

b = \(2000\cdot2002+4000\) 

Ta có: 4004 > 4000

\(\Rightarrow2002\cdot2000+4004>2000\cdot2002+4000\)

Do đó a > b