Simplify. Assume that all variables represent positive real numbers.6
- 2
- 
A. 17x
B. 18x
C. 4x
D. 3x
Answer: A
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Factor the sum or difference of cubes. 216k3 + m3
A. (6k + m)(36k2 + m2) B. (6k + m)(36k2 - 6km - m2) C. (6k + m)(36k2 + 6km + m2) D. (6k + m)(36k2 - 6km + m2)
Factor completely.12x2y2 + 7xy2 - 12y2
A. y2(x + 4)(12x - 3) B. (3x + 4y)(4x - 3y) C. (4x + 4y)(3x - 3y) D. y2(3x + 4)(4x - 3)
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0
A. ? = 36.9°
+ 
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
B. ? = 36.9°
+ 
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
C. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
D. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
Solve the system of equations. If the system is dependent, express solutions in terms of the parameter z.x + 2y + 4z = -13 5y + 5z = -5 z = -4
A. (-3, 3, -4) B. (-3, -4, 3) C. (-4, 3, -3) D. No solution