Question

Find the product:

$\frac{3}{5}{m}^{2}n(m+5n)$

Answer 1

$$\begin{gathered} =\frac{3}{5}{\mathrm{m}}^2\mathrm{n}\times \mathrm{m}+\frac{3}{5}{\mathrm{m}}^2\mathrm{n}\times 5\mathrm{n} \\ =\frac{3}{5}\times {\mathrm{m}}^2\times \mathrm{m}\times \mathrm{n}+\frac{3}{5}\times 5\times {\mathrm{m}}^2\times \mathrm{n}\times \mathrm{n} \\ =\frac{3}{5}{\mathrm{m}}^{(2+1)}\times \mathrm{n}+3\times {\mathrm{m}}^2\times {\mathrm{n}}^{(1+1)} \\ =\frac{3}{5}{\mathrm{m}}^3\mathrm{n}+3{\mathrm{m}}^2{\mathrm{n}}^2 \end{gathered}$$