Question

evalute (501)² using identities for squares

Answer 1

Answer:

On decomposing,

⇒ 510=500+10 ---- ( 1 )

Here, a=500 and b=10

Squaring on both sides of equation ( 1 ),

⇒ (510)

2

=(500+10)

2

=(500)

2

+2(500)(10)+(10)

2

[ (a+b)=a

2

+2ab+b

2

]

=250000+10000+100

=260100

∴ (510)

2

=260100