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)(9b)
(6 x 8)(a x a x b) - (3 x 9)(a² x b)
(48)(a¹⁺¹ x b) - (27)(a²b)
48a²b - 27a²b
21a²b

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 x 8b = (8 x 8) (a x b) = 64ab

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 5 x 9
a = 45

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) + (9a²)(8b)
(8 x 2)(a x a x b) + (9 x 8)(a² x b)
(16)(a¹⁺¹ x b) + (72)(a²b)
16a²b + 72a²b
88a²b

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)