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

Explanation:

$(20 + 2) ^{2} - (20 + 1)^{2} \\ {20}^{2} + 2 \times 2 \times 20 + {2}^{2} - {20}^{2} + 2 \times 20 + 1 \\ 400 + 4 \times 20 + 4 - 400 + 40 + 1 \\ 80 + 4 - 40 + 1 \\ 84 - 41 \\ 43$

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