Question

Subtract the square of 99 from the square of 100 without actually calculating the squares. ​

Answer 1

Answer:

Given,

We need to Subtract the square of 99 from the square of 100 without actually calculating the squares.

Using the formula

${x}^{2} - {y}^{2} = (x + y)(x - y)$

We get.....

$= > {(100)}^{2} - {(99)}^{2} \\ = > (100 + 99)(100 - 99) \\ = > 199 \times 1 \\ = > 199.$

Answer 2

Answer:

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