Use the binomial theorem to expand the expression.(5x - 4y)3

A. 125x3 - 300x2y + 240xy2 - 64y3
B. 25x3y - 40x2y2 + 16xy3
C. 25x3y - 20x2y2 + 16xy3
D. 125x3 - 100x2y + 80xy2 - 64y3


Answer: A

Mathematics

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Determine whether the given function satisfies a Laplace equation.f(x, y, z) = 9x + 9y3z2

A. Yes B. No

Mathematics

State the domain of the rational function.f(x) = 

A. (-?, ?) B. (-?, -2) ? (-2, 7) ? (7, ?) C. (-?, -7) ? (-7, 2) ? (2, ?) D. (-?, 7) ? (7, ?)

Mathematics

Perform the indicated operations. Write the resulting polynomial in standard form.(3x2 + 4x + 7) + (2x2 + 6x - 3) - (5x + 2)

A. 5x2 + 5x + 6 B. 5x2 + 5x + 2 C. 3x2 + 5x + 2 D. 3x2 + 5x + 6

Mathematics

Solve the system using the inverse matrix method.

A. x = -5, y = -2, z = -2; (-5, -2, -2) B. x = 5, y = 2, z = -2; (5, 2, -2) C. x = 2, y = 5, z = 2; (2, 5, 2) D. x = 5, y = -2, z = 2; (5, -2, 2)

Mathematics