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Factorisation by Regrouping Terms

Factorize 4 ...

Question

Factorize
$4 x^{2}$ + 20x +25

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Solution

given, $4 x^{2} + 20 x + 25$

$= 4 x^{2} + 10 x + 10 x + 25$
$= 2 x (2 x + 5) + 5 (2 x + 5)$

$= (2 x + 5) (2 x + 5)$

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

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{4 x}^{2} + 20 x + 25

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