Question

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

Answer 1

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

\[2 a^3 \left( 3a + 5b \right)\]

\[ = 2 a^3 \times 3a + 2 a^3 \times 5b\]

\[ = \left( 2 \times 3 \right)\left( a^3 \times a \right) + \left( 2 \times 5 \right) a^3 b\]

\[ = \left( 2 \times 3 \right) a^{3 + 1} + \left( 2 \times 5 \right) a^3 b\]

\[ = 6 a^4 + 10 a^3 b\]

Thus, the answer is \[6 a^4 + 10 a^3 b\].