Question

Subtract the square of 21 from the square of 22 without actually calculating the squares. ​

Answer 1

Answer:

41

Step-by-step explanation:

• The identity used for the calculation

=>x^2 - y^2 = (x+y)(x - y)

• Now take

=>x = 22

=>y = 21

• put in above identity

=(22+ 21)(22 - 21)

=43

Answer 2

Answer:

Given,

We need to Subtract the square of 21 from the square of 22 without actually calculating the squares.

Using the identity

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

We get...

$= > {(22)}^{2} - {(21)}^{2} \\ = > (22 + 21)(22 - 21) \\ = > 43 \times 1 \\ = > 43.$