Given:
The statement is "Five times the difference of the cube of y and the square of x".
To find:
The algebraic expression for the given statement.
Solution:
We know that,
Cube = Power 3
Square = Power 2
Difference = Minus (-)
Times = Multiplication (×)
Now,
Cube of y = [tex]y^3[/tex]
Square of x = [tex]x^2[/tex]
Difference of the cube of y and the square of x = [tex]y^3-x^2[/tex]
Five times the difference of the cube of y and the square of x is:
Required expression = [tex]5(y^3-x^2)[/tex]
Therefore, the correct option is C. The required algebraic expression for the given statement is [tex]5(y^3-x^2)[/tex].
