4x^2 4x+1 Splitting the middle term: 4x^2 2x 2x+1 ⇒ 2x(2x 1) 1(2x 1) ⇒ (2x 1)(2x 1)=(2x 1)^2 . ...

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Roots of Quadratic Equation

Factorise 4...

Question

Factorise
$4 x^{2} - 4 x + 1$

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Solution

$4 x^{2} - 4 x + 1$
Splitting the middle term:-
$4 x^{2} - 2 x - 2 x + 1$
$\Rightarrow 2 x (2 x - 1) - 1 (2 x - 1)$
$\Rightarrow (2 x - 1) (2 x - 1) = (2 x - 1)^{2}$ .

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