Question

The owners of a house want to knock down the wall between the kitchen and the family room.

The area of the family room is x² + 10 + 24 and the area of the kitchen is x² + 7x + 12. Write an
expression that represents the area of the new combined space.

Answer 1

`2x^2+7x+46`

Explanation:

`(x^2+10+24)+(x^2+7x+12) \\ \\ =x^2+34+x^2+7x+12 \\ \\ =2x^2+7x+46`