Question

Find the following product:
2a³(3a + 5b)

Answer 1

To find the product, we will use distributive law as follows:

$$\begin{gathered} 2a^3\left(3a+5b\right) \\ =2a^3\times 3a+2a^3\times 5b \\ =\left(2\times 3\right)\left(a^3\times a\right)+\left(2\times 5\right)a^{3}b \\ =\left(2\times 3\right)a^{3+1}+\left(2\times 5\right)a^{3}b \\ =6a^4+10a^{3}b \end{gathered}$$

Thus, the answer is $6a^4+10a^{3}b$.