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.

(5a)(3ab) - (3a²)(7b)
(5 x 3)(a x a x b) - (3 x 7)(a² x b)
(15)(a¹⁺¹ x b) - (21)(a²b)
15a²b - 21a²b
-6a²b

The volume of a cylinder is πr²h:

v = πr²h
v = π(6² x 7)
v = 252π

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with w° = 30, the value of c° is 30.

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.

(2a)(9ab) + (9a²)(8b)
(2 x 9)(a x a x b) + (9 x 8)(a² x b)
(18)(a¹⁺¹ x b) + (72)(a²b)
18a²b + 72a²b
90a²b