Question

What is the product?

(6r-1)(-8r3)

Answer 1

`\large\boxed{(6r-1)(-8r^3)=-48r^4+8r^3}`

Explanation:

`(6r-1)(-8r^3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(6r)(-8r^3)+(-1)(-8r^3)\qquad\text{use}\ (a^n)(a^m)=a^(n+m)\\\\=-48r^(1+3)+8r^3\\\\=-48r^4+8r^3`