Question

using suitable identity , find the value of (509)^2​

Answer 1

Answer:

509^2

=(500+9)^2

=500^2+2×(500)(9)+9^2

=250000+9000+81

=259081

Answer 2

(509)^2

(500+2)^2

Using identity (a+b)^2= a^2 + b^2 +2ab

(500+2)^2

=(500)^2 + (2)^2 + 2(500)(2)

=250000 + 4 + 2000

=252004