Question

Evaluate the square by using formula 509

Answer 1

Step-by-step explanation:

The given expression 509

2

can be rewritten as (500+9)

2

and we solve it as follows:

(500+9)

2

=(500)

2

+(9)

2

+(2×500×9)(∵(a+b)

2

=a

2

+b

2

+2ab)

=250000+81+9000

=259081

Hence, 509

2

=259081.