Question

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

Answer 1

Answer:

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

Step-by-step 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

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