Question

What is the following product?
3v2(5v6-7v3)

Answer 1

`3v^2\left(5v^6-7v^3\right)=15v^8-21v^5`

Explanation:

Given the expression

`3v^2\left(5v^6-7v^3\right)`

Apply the distributive law

`a\left(b-c\right)=ab-ac`

`a=3v^2,\:b=5v^6,\:c=7v^3`

`=3v^2\cdot \:5v^6-3v^2\cdot \:7v^3`

`=3\cdot \:5v^6v^2-3\cdot \:7v^3v^2`

`=15v^8-21v^5`

Thus, we conclude that

`3v^2\left(5v^6-7v^3\right)=15v^8-21v^5`