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:

Operant Behavior

A method of learning that employs rewards and punishments for behavior, emphasizing the effects of external stimuli on behavior.

Respondent Behavior

Behavior that occurs as an automatic response to a certain stimulus.

Explorative Behavior

Actions taken to gather information about one's environment or to learn new things through direct experience.

Response Rate

The frequency at which a specific behavior is performed, often measured in experimental or observational studies to determine the effect of variables.