Question

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

Answer 1

Answer:

Given,

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

Using the formula

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

We get....

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

Answer 2

Given,

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

Using the formula

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

2

−y

2

=(x+y)(x−y)

We get....

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

=>(22)

2

−(21)

2

=>(22+21)(22−21)

=>43×1

=>43.

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