Question

Pls make sure u explain how u did part A no big words thank u

Answer 1

We need to calculate the following quotient:

`(8n^6-16n^4)/(4n^3)`

We know that:

`\begin{gathered} 8n^6=4n^3\cdot2n^3 \\ 16n^4=4n^3\cdot4n \end{gathered}`

Then:

`(8n^6-16n^4)/(4n^3)=(4n^3\cdot2n^3-4n^3\cdot4n)/(4n^3)`

Using the distributive property of multiplication, we factor the 4n³ term of the numerator:

`\begin{gathered} \Rightarrow(4n^3\cdot2n^3-4n^3\cdot4n)/(4n^3)=(4n^3(2n^3-4n))/(4n^3) \\ \therefore(8n^6-16n^4)/(4n^3)=2n^3-4n \end{gathered}`