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Multiply by Using the Rule for the Square of a Binomial

Question 103

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.)  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


A) x2+4x+4;4x+4x ^ { 2 } + 4 x + 4 ; 4 x + 4
B) x2+4;4x ^ { 2 } + 4 ; 4
C) x2+1;1x ^ { 2 } + 1 ; 1
D) x2+2x+1;2x+1x ^ { 2 } + 2 x + 1 ; 2 x + 1

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