( 82 ) ^ 2 ( 81 ) ^ 2 Using a^2 b^2=( a+b ) ( a b ) ⇒( 82 ) ^ 2 ( 81 ) ^ 2 =( 82+81 ) ( 82 81 ) #160; #160; #160; #160; #160; #160 ...

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Factorisation Using Algebraic Identities

Solve 822 - ...

Question

Solve
$(82)^{2} - (81)^{2}$

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Solution

${(82)}^{2} - {(81)}^{2}$
Using $a^{2} - b^{2} = (a + b) (a - b)$
$\Rightarrow {(82)}^{2} - {(81)}^{2} = (82 + 81) (82 - 81)$
$= (163) (1)$
$= 163.$
Hence, the answer is $163.$

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