Use the Binomial Theorem to expand the binomial and express the result in simplified form.(3x - 1)5
A. 243x5 + 15x4 - 90x3 - 90x2 + 15x - 1
B. 243x5 - 81x4 + 27x3 - 9x2 + 3x - 1
C. 243x5 - 405x4 + 270x3 - 90x2 + 15x - 1
D. (9x2 - 6x + 1)5
Answer: C
Mathematics
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Factor the special products, which are the sum or difference of two perfect cubes.y3 - 64
A. (y - 4)(y2 - 16) B. (y - 4)(y2 + 4y + 16) C. (y - 4)(y2 + 4y - 16) D. (y + 4)(y2 - 4y - 16)
Mathematics
The rectangular coordinates of a point are given. Express the point in polar coordinates with and
(4, -4)
A. (4, 45°)
B. (4, 225°)
C. (4, 315°)
D. (4, 135°)
Mathematics
Solve the equation by completing the square.x2 = 9 - 4x
A. -2 ±
B. -1 ±
C. -2 ± 1
D. 2 +
Mathematics
Find an equation of variation for the given situation.y varies jointly as x and the square of z, and y = 500 when x = 4 and z = 5
A. y = 25xz
B. y = 5xz2
C. y =
D. y = 6xz2
Mathematics