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(a + b)^2 Expansion and Visualisation

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Question

Expand $(x + 5)^{2}$

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Solution

$(x + 5)^{2} = x^{2} + 2 (x) (5) + 5^{2}$
$= x^{2} + 10 x + 25$
Aliter : $(x + 5)^{2} = (x + 5) (x + 5)$
$x (x + 5) + 5 (x + 5)$
$= x^{2} + 5 x + 5 x + 25$
$= x^{2} + 10 x + 25$

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