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

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.

(6a)(8ab) - (3a²)(6b)
(6 x 8)(a x a x b) - (3 x 6)(a² x b)
(48)(a¹⁺¹ x b) - (18)(a²b)
48a²b - 18a²b
30a²b

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a - 6a = -2a

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

7c(c - z)
7(2)(2 + 4)
7(2)(6)
(14)(6)
84

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(4 + 2)(3)
a = ½(6)(3)
a = ½(18) = \( \frac{18}{2} \)
a = 9