To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

4a x 9b = (4 x 9) (a x b) = 36ab

The volume of a cylinder is πr²h:

v = πr²h
v = π(8² x 6)
v = 384π

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

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 12 as well and sum (Inside, Outside) to equal 8. For this problem, those two numbers are 2 and 6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 8y + 12
y² + (2 + 6)y + (2 x 6)
(y + 2)(y + 6)

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.