Question

Write as an algebraic expression: Five times

Answer 1

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 = $y^3$

Square of x = $x^2$

Difference of the cube of y and the square of x = $y^3-x^2$

Five times the difference of the cube of y and the square of x is:

Required expression = $5(y^3-x^2)$

Therefore, the correct option is C. The required algebraic expression for the given statement is $5(y^3-x^2)$.