To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 9)(y - 6)
(y x y) + (y x -6) + (-9 x y) + (-9 x -6)
y² - 6y - 9y + 54
y² - 15y + 54

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.

(8a)(2ab) - (2a²)(3b)
(8 x 2)(a x a x b) - (2 x 3)(a² x b)
(16)(a¹⁺¹ x b) - (6)(a²b)
16a²b - 6a²b
10a²b

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-2b - 8 > \( \frac{b}{2} \)
2 x (-2b - 8) > b
(2 x -2b) + (2 x -8) > b
-4b - 16 > b
-4b - 16 - b > 0
-4b - b > 16
-5b > 16
b > \( \frac{16}{-5} \)
b > -3\(\frac{1}{5}\)

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 5)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)