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(a-b)^2 Expansion and Visualisation

Factorise the...

Question

Factorise the following by using suitable identity
$x^{2} - 4 x + 4$

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Solution

$x^{2} - 4 x + 4$
$= (x)^{2} - 2. x .2 + (2)^{2}$
$= (x - 2)^{2} ∵ (a - b)^{2} = a^{2} - 2 a b + b^{2}$
$= (x - 2) (x - 2)$

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