105^2 = (100 + 5)^2 = 100^2 + 2(100)(5) + 5^2 = (100× 100) + 1000 + 25 = 10000 + 1000 + 25 105^2 = 11025 ...

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(a + b)^2 Expansion and Visualisation

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Question

Expand $105^{2}$

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Solution

$105^{2} = (100 + 5)^{2}$
$= 100^{2} + 2 (100) (5) + 5^{2}$
$= (100 \times 100) + 1000 + 25$
$= 10000 + 1000 + 25$
$105^{2} = 11025$

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