Question
Factorise:
$\frac{3}{2}\text{x}^2+16\text{x}+10$
$\frac{3}{2}\text{x}^2+16\text{x}+10$
✓
Answer
$\frac{3}{2}\text{x}^2+16\text{x}+10$
$=\frac{3}{2}\text{x}^2+\text{x}+15\text{x}+10$
$=\frac{\text{x}}{2}(3\text{x}+2)+5(3\text{x}+2)$
$(3\text{x}+2)\Big(\frac{\text{x}}{2}+5\Big)$
$=\frac{3}{2}\text{x}^2+\text{x}+15\text{x}+10$
$=\frac{\text{x}}{2}(3\text{x}+2)+5(3\text{x}+2)$
$(3\text{x}+2)\Big(\frac{\text{x}}{2}+5\Big)$
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