105^2 104^2 is of the form a^2 b^2=(a+b)(a b) =(105+104)(105 104) =209× 1=209 ...

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(x±a)(x±b) = x²±(a+b)x+ab.

Evaluate : 1...

Question

Evaluate : $105^{2} - 104^{2}$

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Solution

$105^{2} - 104^{2}$ is of the form $a^{2} - b^{2} = (a + b) (a - b)$

$= (105 + 104) (105 - 104)$

$= 209 \times 1 = 209$

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