Question

solve by Vedic method (99)^2​

Answer 1

Answer:

The value of (100-1)^{2}=9801.(100−1)

2

=9801.

Step-by-step explanation:

We have,

99^{2}99

2

To find, the vaue of 99^{2}=?99

2

=?

∴ 99^{2}=(100-1)^{2}99

2

=(100−1)

2

Using identity,

(a-b)^{2}=a^{2}-2ab+b^{2}(a−b)

2

=a

2

−2ab+b

2

(100-1)^{2}=100^{2}-2(100)(1)+(1)^{2}(100−1)

2

=100

2

−2(100)(1)+(1)

2

⇒ (100-1)^{2}=10000-200+1(100−1)

2

=10000−200+1

⇒ (100-1)^{2}=9800+1=9801(100−1)

2

=9800+1=9801

Hence, the value of (100-1)^{2}=9801.(100−1)

2

=9801.