A number is represented by = n.
We need to write an expression for "an expression for the quantity of four less than the square of this number divided by the quantity five more than four times the number ".
Let us break the statement into smaller parts.
"The quantity of four less than the square of this number(n)".
Square of n is = n^2.
4 less than n^2 = n^2 -4.
"This number(n) divided by the quantity five more than four times the number"
4 times the number n = 4×n = 4n.
Five more than four times the number = 4n +5.
Therefore, we can repharse given statement by an easy way as:
" 4 less than n^2 is divided by (4n+5)."
or (n^2 - 4) ÷ (4n+5).
In fraction form : [tex]\frac{n^2 - 4}{4n+5}[/tex]
Therefore, final expression would be [tex]\frac{n^2 - 4}{4n+5}[/tex].
