Question

(101)² solve it using identities​

Answer 1

10201

Explanation:

=(101)²

=(100+1)²

={100²+2(100)(1)+1²} [(a+b)²=a²+2ab+b²]

=10000+200+1

=10201

Answer 2

Solution :-

Given,

• (101)^2

We need to solve it using identities.

>> (100 + 1)^2

As we know that,

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

Here,

• a = 100
• b = 1

Using the identity we gets,

>> (100)^2 + (1)^2 + 2(100)*(1)

>> 10000 + 1 + 200

>> 10000 + 201

>> 10201