Applying the formula, #160; a ^ 2 b ^ 2 = (a+b)(a b) ( 92 ) #160; ^ 2 ( 91 ) #160; ^ 2 = (92 + 91) × (92 91) = 183 × 1 = 183 ...

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Algebraic Identities

922-912=........

Question

$(92)^{2} - (91)^{2} = . . . . . . . . . .$ .

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Solution

Applying the formula,
$a^{2} - b^{2} = (a + b) (a - b)$
${(92)}^{2} - {(91)}^{2} = (92 + 91) \times (92 - 91) = 183 \times 1 = 183$

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