Find the following product: 2 a^3(3 a+5 b) - Vidyadip

Question

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

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Answer

To find the product, we will use distributive law as follows:
$2 a^3(3 a+5 b)$
$=2 a^3 \times 3 a+2 a^3 \times 5 b$
$=(2 \times 3)\left(a^3 \times a\right)+(2 \times 5) a^3 b$
$=(2 \times 3) a^{3+1}+(2 \times 5) a^3 b$
$=6 a^4+10 a^3 b$
Thus, the answer is $6 a^4+10 a^3 b$.

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