Question

Find the squares of the following number using identify (a+b)²=a²+2ab+b²
1001​

Answer 1

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1001

On decomposing,

⇒  1001 = 1000+1            ---- ( 1 )

Here, 

a = 1000 and b = 1

Squaring on both sides of equation ( 1 ),

⇒  (10001)²=(1000+1)²

                   =(1000)2+2(1000)(1)+(1)²                 [ (a+b)=a²+2ab+b² ]

                   =1000000+2000+1

                   =1002001

∴  (1001)²=1002001

Answer 2

Answer:

2006004

Step-by-step explanation:

1001²+2×1001+1001²

1002001+2002+1002001

=2006004