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