Rectangle word Problem Help Needed?

Question

A rectangle has sides 2x + 3 and 2x + 2. A square with sides x + 1 is cut out from the centre. What is the remaining area?

Answer 1

The area of the rectangle is (2x+3)(2x+2)= 4x^2+10x+6

The are of the cut out square is (x+1)(x+1)= x^2+2x+1

The remaining area is (the area of the rectangle)-(the area of the square)

4x^2+10x+6

-

x^2+2x+1

----------------

3x^2+8x+5

Answer 2

Area=

(2x + 3)(2x + 2) - (x + 1)^2 =

4x^2 + 10x + 6 - x^2 - 2x -1 =

Area = 3x^2 + 8x +5.