$Evaluate: 37^{2} - 36^{2} .$

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Solution

$37^{2} - 36^{2}$

Using property, for any natural number n,

$(n + 1)^{2} - n^{2} = (n + 1) + n$

$= (36 + 1)^{2} - 36^{2} = (36 + 1) + 36$

$= 37^{2} - 36^{2} = 37 + 36$

$= 73$

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Similar questions

$37^{2} - 36^{2}$ = 73

Evaluate the value of $36^{2} - 35^{2}$ .

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(i) $37^{2} - 36^{2}$ (ii) $85^{2} - 84^{2}$

(iii) $101^{2} - 100^{2}$

{(4 a + 36)}^{2} - {(4 a - 36)}^{2} + 48 a b

(- 1 + \sqrt{- 3})^{62} + (- 1 - \sqrt{- 3})^{62}

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