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Question
Find the following product:
2a3(3a + 5b)
Solution
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 \[6 a^4 + 10 a^3 b\].
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