Observe the figure, it is contain one triangle and one square.
\The base of the triangle is .
The height of the triangle is .
The area of the triangle is .
Rewrite as the sum of two products.
\Apply distributive property: .
The length of the side of the square is .
The area of the big square is .
Apply square of a difference formula: .
.
The area of shaded region is .
Group like terms.
\combine like terms.
\.
The area of shaded region is .