179k views
1 vote
Pls make sure u explain how u did part A no big words thank u

Pls make sure u explain how u did part A no big words thank u-example-1

1 Answer

6 votes

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}

User Mobilecat
by
7.8k points