The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.

The bigger square is x+3 on all 3 sides.

The smaller square is x on every side.

Given:

Big square: side length = x + 3

Small square: side length = x

Area of a square = a² where a represents the side length.

Area of big square = (x+3) ²

A = (x+3) (x+3)

A = x (x+3) + 3 (x+3)

A = x² + 3x + 3x + 9

A = x² + 6x + 9

Area of small square = x²

Total Area = Area of Big square + Area of Small square

Total Area = x² + 6x + 9 + x²

Total Area = 2x² + 6x + 9