Question
Find the following product:
$\frac{3}{5}\text{m}^2\text{n}(\text{m}+5\text{n})$
$\frac{3}{5}\text{m}^2\text{n}(\text{m}+5\text{n})$
✓
Answer
$=\frac{3}{5}\text{m}^2\text{n}\times \text{m}+\frac{3}{5}\text{m}^2\text{n}\times5\text{n}$
$=\frac{3}{5}\times \text{m}^2\times\text{m}\times \text{n}+\frac{3}{5}\times5\times\text{m}^2\times\text{n}\times \text{n}$
$=\frac{3}{5}\text{m}^{(2+1)}\times\text{n}+3\times \text{m}^2\times \text{n}^{(1+1)}$
$=\frac{3}{5}\text{m}^3\text{n}+3\text{m}^2\text{n}^2$
$=\frac{3}{5}\times \text{m}^2\times\text{m}\times \text{n}+\frac{3}{5}\times5\times\text{m}^2\times\text{n}\times \text{n}$
$=\frac{3}{5}\text{m}^{(2+1)}\times\text{n}+3\times \text{m}^2\times \text{n}^{(1+1)}$
$=\frac{3}{5}\text{m}^3\text{n}+3\text{m}^2\text{n}^2$
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