Question

Elaina simplified the algebraic expression below. Hannah claimed that Elaina did not finish the process. Which answer shows the simplified expression that Hannah expected?

3y^2+9y-y^2+9-2y-3 = (3y^2-y^2)+(9y-2y)+(9-3)

2y^2-7y+6

2y^2+7y+6

4y^2-7y+6

4y^2+7y+6

Answer 1

Simplified, the answer should be 2y^2 + 7y + 6. This is the answer that Hanna expected.

Answer 2

The answer which shows the simplified expression that Hannah expected is:

`2y^2+7y+6`

Explanation:

The simplified algebraic expression that is obtained by Elaina is:

`3y^2+9y-y^2+9-2y-3 = (3y^2-y^2)+(9y-2y)+(9-3)`

As we could clearly observe that Elaina did not properly simplify the algebraic expression.

Elaina just combined the like terms but did not simplify them.

Hence, on simplifying this expression we get:

`(3y^2-y^2)+(9y-2y)+(9-3)=2y^2+7y+6`

Hence, the simplified expression is:

`2y^2+7y+6`