Multiply by Using the Rule for the Square of a Binomial

Multiple Choice

Multiply by using the rule for the square of a binomial.
-The square painting in the figure measures x inches on each side. The painting is uniformly surrounded by a frame which measures 1 inch on each side. Write a polynomial in descending powers of x which expresses the
Area of the square that includes the painting and the frame. Then write an expression for the area of the frame.
(Hint: The area of the frame is the area of the painting and the frame minus the area of the painting.)

A) $x ^ { 2 } + 4 x + 4 ; 4 x + 4$
B) $x ^ { 2 } + 4 ; 4$
C) $x ^ { 2 } + 1 ; 1$
D) $x ^ { 2 } + 2 x + 1 ; 2 x + 1$