Question

Without actually calculating the square, evaluate 101^2

Answer 1

101^2=[100+1]^2
By using binomial expansion formula,
We get 10201.
Formula:-nC0 (100)^n+nC1(100^n-1)(1)+nC2(1^2)
=10000+(2)100+1
=10201

Answer 2

Answer:

10201

Step-by-step explanation:

101^2=(100+1)^2

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

(100+1)^2=100^2+2(100)(1)+1^2

=10000+200+1=10201