To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 27 as well and sum (Inside, Outside) to equal 12. For this problem, those two numbers are 3 and 9. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 12y + 27
y² + (3 + 9)y + (3 x 9)
(y + 3)(y + 9)

The volume of a cube is height x length x width:

v = h x l x w
v = 8 x 6 x 4
v = 192

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 3) + (2 x 3 x 8) + (2 x 2 x 8)
sa = (12) + (48) + (32)
sa = 92

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.