Question

please answer please answer
$find \: 68 {}^{2} - 32 {}^{2} using \: the \: identity \: x {}^{2} - y {}^{2} = (x + y) \: (x - y)$
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Answer 1

Step-by-step explanation:

let x be 68 and y be 32

by substituting the value

$68 {}^{2} - 32 {}^{2} = (68 + 32)(68 - 32) \\ \ \\ = (100)(36) \\ \\ = 3600$

thetherefore 68^2 - 32^2= 3600

Answer 2

★Given -

• 68² - 32²

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★ To find -

• Value of the given number.

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★Solution -

• Using Identity

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⛦ x² - y² = (x + y) (x - y)

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In this question, x = 68 and y = 32

Put the value of x and y in the identity.

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→ (68 + 32) (68 - 32)

→ 100 × 36

→ 3,600

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Therefore,

• We get the value of 68² - 32² = 3,600.

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Let's verify our answer

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→ 68² = 4,624

→ 32² = 1,024

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→ 68² - 32² = 4,624 - 1,024

→ 3,600 = 3,600

→ LHS = RHS

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Hence proved

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Therefore,

• Required answer is 3,600.