Question

Evaluate 97 square using identities

Answer 1

Hey friend,
Here is the answer you were looking for:
${(97)}^{2}$

We can write it as

${(100 - 3)}^{2}$

Using the formula :

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

Putting x = 100
and y = 3

$= {(100)}^{2} + {(3)}^{2} - 2(100)(3) \\ \\ = 10000 + 9 - 600 \\ \\ = 10009 - 600 \\ \\ = 9409$

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
☺☺

Answer 2

★ Hey! ★

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Question = (97)²

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We can also write it as :-

(100 - 3)²

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Identity :-

(a - b)² = a² + b² - 2ab

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a = 100

b = 3

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★Remember the rule of BODMAS (Bracket of division multiplication addition subtraction)

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= (100)² + (3)² - 2 × (100) × (3)

= 10000 + 9 - 600

= 10009 - 600

= 9409

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Regards :)

★ Cybary ★

★ Be Brainly ★