Question
Factorise:$5\sqrt{5}\text{x}^2-20\text{x}+3\sqrt{5}$
✓
Answer
$5\sqrt{5}\text{x}^2-20\text{x}+3\sqrt{5}$$=5\sqrt{5}\text{x}^2-15\text{x}-5\text{x}+3\sqrt{5}$
$=5\text{x}\big(\sqrt{5}\text{x}+3\big)+\sqrt{5}\big(\sqrt{5}\text{x}+3\big)$
$=\big(\sqrt{5}\text{x}+3\big)\big(5\text{x}+\sqrt{5}\big)$
$=5\text{x}\big(\sqrt{5}\text{x}+3\big)+\sqrt{5}\big(\sqrt{5}\text{x}+3\big)$
$=\big(\sqrt{5}\text{x}+3\big)\big(5\text{x}+\sqrt{5}\big)$
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