Expand using the binomial theorem.(x + 3y)3
A. 3(x + 3y)
B. x3 + 3x2y + 6xy + 9xy2 + 18y2 + 27y3
C. x3 + 27y3
D. x3 + 9x2y + 27xy2 + 27y3
Answer: D
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Solve the problem.If the deflection (in cm) of a beam is calculated by the expression 
, where x is the distance (in m) from one end of the beam to the point where the force is applied, then what is the deflection if the force is applied in the center of a 9.24 m beam? (The 1000 and 20 are exact numbers.)
A. 1.68 cm B. -3.04 cm C. 1.677 cm D. -2.59 cm
Find the product of the sum and difference of two terms.(x + 1)(x - 1)
A. x2 - 2x - 1 B. x2 - 1 C. x2 - 2 D. x2 + 2x - 1
A carpenter wishes to construct an elliptical table top from a sheet of plywood, 5 ft by 10 ft. He will trace out the ellipse using the "thumbtack and string" method. What length of string should he use, and how far apart should the tacks be located if the ellipse is to be the largest possible that can be cut out of the plywood sheet?
?
?
A. the tacks should be located 
ft far apart, length of string 10 ft
B. the tacks should be located 
ft far apart, length of string 10 ft
C. the tacks should be located 
ft far apart, length of string 5 ft
D. the tacks should be located 
ft far apart, length of string 5 ft
E. none of these
Write an algebraic expression, using x as the variable.3 more than 8 times a number
A. 8(3 + x) B. 11x C. 8x + 3 D. 3x + 8