Question

Find the value of hundred square minus 99 square

Answer 1

(100)²-(99)²

= (100+99)(100-99) = 10,000-9,900+9,900-9801= 10,000-9,801 = 199

Answer 2

Given:

The expression $(100)^2 - (99)^2$.

To Find:

The value of the expression.

Solution:

Since, we know that    $a^2-b^2 = (a-b)(a+b)$ .

Then, using the above algebraic formula, we will find the value of the given expression.

$(100)^2 - (99)^2 = (100-99)(100+99)\\\\\Rightarrow (100)^2 - (99)^2 = 1\times 199\\\\\Rightarrow (100)^2 - (99)^2 = 199$

Therefore,

Answer : $(100)^2 - (99)^2 = 199$