Use the Binomial Theorem to expand the binomial.(x- 5y)4

A. x4 - 20x3y + 150x2y2 + 20xy3 + 625y4
B. x4 - 5x3y + 150x2y2 - 250xy3 + 625y4
C. x4 + 4x3y + 6x2y2 + 4xy3 + y4
D. x4 - 20x3y + 150x2y2 - 500xy3 + 625y4


Answer: D

Mathematics

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Use the rules for exponents to rewrite the expression and then evaluate the new expression. 42 ? 45

A. 262,144 B. 16,777,216 C. 16,384 D. 1,048,576

Mathematics

Solve the problem.Show that the point P(1, -6, -6) is equidistant from the points ) and B(2, -4, -7).

A. The distance between P and A is 3; the distance between P and B is 3
B. The distance between P and A is ; the distance between P and B is 
C. The distance between P and A is ; the distance between P and B is 
D. The distance between P and A is 2; the distance between P and B is 2

Mathematics

Factor the trinomial completely.8x3 + 6x2 - 9x

A. (x2 - 3)(8x + 3) B. x(8x + 1)(x - 9) C. (2x - 3)(4x + 3) D. x(2x + 3)(4x - 3)

Mathematics

Find the finance charge and total installment cost of the loan. Round to the nearest cent.Amount financed: $165Down payment: $45Cash price: $210Number of payments: 6Amount of payment: $28.59

A. $12.54; $261.54 B. $171.54; $261.54 C. $6.54; $216.54 D. $38.46; $216.54

Mathematics