In the Identity (x a)(x+a) = x^2 a^2 We put x=36 and a=35 ⇒ 36^2 35^2=(36 35)(36+35) =1× 71 =71 ...

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(a+b)(a-b) Expansion and Visualisation

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Question

Solve $36^{2} - 35^{2} =$ ___

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Solution

In the Identity $(x - a) (x + a) = x^{2} - a^{2}$
We put
$x = 36$ and $a = 35$

$\Rightarrow 36^{2} - 35^{2} = (36 - 35) (36 + 35)$
$= 1 \times 71$
$= 71$

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