Factor the polynomial completely.75a2 - 12b2

A. 3(5a - 2b)2
B. 3(5a + 2b)2
C. 3(5a + 2b)(5a - 2b)
D. (15a + 6b)(5a - 2b)


Answer: C

Mathematics

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Find the sum of the finite geometric series using a formula.2 - 8 + 32 - 128 + 512

A. 682 B. 410 C. -682 D. -410

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Find the derivative at each critical point and determine the local extreme values.y = x2

A.

B.

C.

D.

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Find the vertex, focus, and directrix of the parabola. Graph the equation.(x + 3)2 = (y - 3)

A. vertex: (3, -3)
focus: (3, -2.75)
directrix: y = -3.25

B. vertex: (-3, 3)
focus: (-2.75, 3)
directrix: x = -3.25

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focus: (3.25, -3)
directrix: x = 2.75

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focus: (-3, 3.25)
directrix: y = 2.75

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Simplify the expression.cos x (csc x - sec x) - cot x

A. 1 B. 0 C. -1 D. cos2x - tan2x

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