Question
Factorise: $2\text{x}^2+3\sqrt{3}\text{x}+3$

Answer

$2\text{x}^2+3\sqrt{3}\text{x}+3$ $2\text{x}^2+2\sqrt{3}\text{x}+\sqrt{3}\text{x}+3$ $=2\text{x}\big(\text{x}+\sqrt{3}\big)+\sqrt{3}\big(\text{x}+\sqrt{3}\big)$ $=\big(\text{x}+\sqrt{3}\big)\big(2\text{x}+\sqrt{3}\big)$

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