Factorize:$5 \sqrt{5}x^2 + 20x + 3\sqrt{5}$

Given :

To do :

We have to factorize the given expression.

Solution :

$5 \sqrt{5} x^{2}+20 x+3 \sqrt{5} =5 \sqrt{5} x^{2}+5 x+15 x+3 \sqrt{5}$   [Since $5 \sqrt{5} \times 3 \sqrt{5}=75=15 \times 5, 15+5=20$]

$=\sqrt{5} x(5 x+\sqrt{5})+3(5 x+\sqrt{5})$

$=(5 x+\sqrt{5})(\sqrt{5} x+3)$

Hence, $5 \sqrt{5} x^{2}+20 x+3 \sqrt{5} =(5 x+\sqrt{5})(\sqrt{5} x+3)$.

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Updated on: 10-Oct-2022

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