Factor the expression completely.x4 - 1

A. (x2 + 1)(x - 1)(x + 1)
B. (x2 + 1)(x2 - 1)
C. (x2 - 1)(x - 1)(x + 1)
D. (x + 1)2(x - 1)2


Answer: A

Mathematics

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A. -20y4 + -20y3 B. 6y5 + -20y3 C. -26y4 + -20y3 D. 6y5 + -26y4 + -20y3

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Solve the problem.The distance from the downtown station to the last stop on a commuter railroad line is 19 miles. The distance between stops is about 1.9 miles. How many stops are there?

A. 11 stops B. 9 stops C. 5 stops D. 10 stops

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A 30-ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 18 ft from the wall and sliding away from the wall at the rate of 3 ft/sec?


Hint: Refer to the accompanying figure. By the Pythagorean theorem, . Find  when  and .


a = 30; b = 3


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B.  ft/sec
C.  ft/sec
D. ft/sec
E.  ft/sec

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Perform the indicated operations.(x3 + 4xy - 9y2) - (3x3 + 9xy + y2)

A. 2x3 + 5xy - 8y2 B. -2x3 - 5xy - 8y2 C. -2x3 - 5xy - 10y2 D. 4x3 - 5xy - 10y2

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