Provide an appropriate response.Explain how (a - b)3 differs from a3 - b3 by expanding (a - b)3.
What will be an ideal response?
Expanding (a - b)3, one gets (a - b)3 = a3 - 3a2b + 3ab2 - b3, which differs from a3 - b3 by the terms -3a2b and 3ab2.
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Determine whether the events A and B are independent.Event A: A couple's first child is a girl.Event B: The couple's second child is a girl
A. Yes B. No
Provide an appropriate response.Before opening a new dealership, an auto manufacturer wants to gather information about car ownership and driving habits of the local residents. The marketing manager of the company randomly selects 1000 households from all households in the area and mails a questionnaire to them. Of the 1000 surveys mailed, she receives 145 back. Is this study biased? Explain.
What will be an ideal response?
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A. 
B. 
C. 
D. 27
Use the even-odd properties to find the exact value of the expression. Do not use a calculator.cot 
A. 
B. - 
C. 
D. -