Question

Find the product:

1.5a(10a² − 100ab²)

Answer 1

$$\begin{gathered} =1.5\mathrm{a}\times 10{\mathrm{a}}^2\mathrm{b}-1.5\mathrm{a}\times 100{\mathrm{ab}}^2 \\ =1.5\times 10\times \mathrm{a}\times {\mathrm{a}}^2\mathrm{b}-1.5\times 100\times \mathrm{a}\times \mathrm{a}\times {\mathrm{b}}^2 \\ =15\times {\mathrm{a}}^{(1+2)}\mathrm{b}-150\times {\mathrm{a}}^{(1+1)}\times {\mathrm{b}}^2 \\ =15{\mathrm{a}}^3\mathrm{b}-150{\mathrm{a}}^2{\mathrm{b}}^2 \end{gathered}$$