Question

Write as an algebraic expression: Five times

the difference of the cube of y and the
square of x
A. 5y3 + 5x2
B. (5y)3 - (5x)2
C. 5(y3 - x2)
D. (5y - 5x)^6

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)`.