Multiply by Using the Rule for the Square of a Binomial

question 38

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) \(x ^ { 2 } + 2 x + 1 ; 2 x + 1\)

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Definitions:

Antisocial Behavior

Actions that go against social norms, potentially harmful to people around, including aggressive, disruptive, or manipulative activities.

Affective Behavior

Emotional responses and expressions that result from stimuli or internal feelings.

Frustration

Frustration is the emotional response to opposition, arising from situations where a person is blocked from reaching a desired outcome.

Biological Changes

Alterations in the physical and physiological states of an organism as it grows, develops, or adapts to its environment.