Question

Lena thinks of a number, x. She finds the sum of the number and 4. She squares the entire quantity, and then divided it by the product of 3 and the number. Enter an algebraic expression that shows the operations she performed.

Answer 1

`((x + 4)^(2))/(3x)`

Explanation:

Let the number that Lena thinks of is x.

Then she finds the sum of the number and 4 i.e. (x + 4).

Then she squared the entire quantity as (x + 4)².

Now, she divided the final term by the product of 3 and the number.

Here, the product of 3 and the number is 3x.

Therefore, ultimately Lena will get the algebraic expression as
`((x + 4)^(2))/(3x)`. (Answer)