the quotient of the product of two and a number squared and the sum of that same number and eight

Answer 1

Break down the question by translating the words into mathematical operations:

quotient = answer to a division problem

product = answer to a multiplication problem

a number = use a variable

squared = raised to the 2nd power (²)

sum = answer to an addition problem

Since you are dividing, set this up as a fraction.

2n²/n+8 or (2n)²/n+8

It could be 2 different answers because "the product of 2 and a number squared" does not specify whether you are squaring the number and then finding the product or finding the product first and then squaring it.

Answer 2

prduct of two and a number squared

2n²

sum of that number and 8

n + 8

The quotient

2n² / (n + 8)