The solution is [tex]2(2r^2+r-4)[/tex]
Explanation:
The given expression is [tex]\frac{4r^6+2r^5-8r^4}{r^4}[/tex]
We need to determine the solution of the given expression.
The solution of the expression can be determined by dividing the terms.
Thus, we have,
[tex]\frac{4r^6+2r^5-8r^4}{r^4}[/tex]
Let us factor out the common term [tex]2r^4[/tex] from the numerator.
Thus, we get,
[tex]\frac{2r^4(2r^4+r-4)}{r^4}[/tex]
Cancelling the common terms, we get,
[tex]2(2r^2+r-4)[/tex]
Thus, the solution of the expression is [tex]2(2r^2+r-4)[/tex]
