Question

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

Answer 1

Answer:

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

$\huge \red { \boxed{ \boxed{ \mathsf{ \mid \ulcorner Answer : \urcorner \mid }}}}$

Question :-

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

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Answer :-

We have identity :-

$\huge{\boxed{\boxed{\sf{x^{2} \: - y^{2} \: = \: (x \: + \: y)(x \: - \: y)}}}}$

Where x = 22

and

y = 21

______________[Put Values]

→ (22 + 21)(22 - 21)

→ (43)(1)

→ 43 × 1

$\LARGE{\sf{Answer \: \implies \: 43}}$