Factor the trinomial, or state that the trinomial is prime.4a2 - 4ab - 3b2

A. (2a + b)(2a - 3b)
B. (4a + b)(a - 3b)
C. (2a - b)(2a + 3b)
D. prime


Answer: A

Mathematics

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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = sin x cos x

A. x + x3 - x5 + x7 + . . .
B. x - x3 + x5 - x7 + . . .
C. x - x3 + x5 - x7+ . . .
D. 1 + x - x2 - x3 + . . .

Mathematics

Fill in the blank using the word product, sum, quotient, or difference.The formula sin ? sin ? =  [cos (? - ?) - cos (? + ?)] can be used to change a  of two sines into the  of two cosine expressions.

A. product, sum B. quotient, sum C. product, difference D. quotient, difference

Mathematics

Solve the problem.Laura's chocolate store is famous for its "Chocnut", a unique mix of chocolate and nuts. A Supreme box of Chocnut has  pounds of chocolate and  pounds of nuts. A Deluxe box has  pounds of chocolate and  pounds of nuts. John bought 2 Supreme boxes and 2 Deluxe boxes of Chocnut. What is the total weight of his purchase?

A. 17 lb
B. 35 lb
C. 21 lb
D. 31 lb

Mathematics

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.2logy3 + logy2

A. logy12 B. logy3 C. 2logy6 D. logy18

Mathematics