Question
Factorise:$\text{x}^2-2\sqrt{2}\text{x}-30$
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Answer
$\text{x}^2-2\sqrt{2}\text{x}-30$$=\text{x}^2-5\sqrt{2}\text{x}+3\sqrt{2}\text{x}-30$
$=\text{x}(\text{x}+5\sqrt{2})-3\sqrt{2}(\text{x}+5\sqrt{2})$
$=(\text{x}-5\sqrt{2})(\text{x}+3\sqrt{2})$
$=\text{x}(\text{x}+5\sqrt{2})-3\sqrt{2}(\text{x}+5\sqrt{2})$
$=(\text{x}-5\sqrt{2})(\text{x}+3\sqrt{2})$
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