Question

Write an algebraic expression to represent the following verbal expression. the cube of the difference of a number and 43

Answer 1

(n - 43)³

Explanation:

Let the number be n.

Then the desired expression is (n - 43)³

Answer 2

Algebraic expression = (x-43)^3

Explanation:

Given , the verbal expression is the cube of the difference of a number and 43.

Let x be the number

Now, according to question

Difference means subtraction in which a number is subtracted from the other number

Difference of a number and 43

It means 43 is subtracted from x

Now , the algebraic expression =x-43

Cube of the difference of a number x and 43 =(x-43)(x-43)(x-43)

Cube of a number means multiply a number three times with self .

Therefore, Cube of the difference of a number x and 43=
`(x-43)* (x-43)*(x-43)`

Cube of the difference of a number x and 43=(x-43)^3

Because in multiply when base same then power of the number added.

Hence,the algebraic expression =(x-43)^3.

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