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)(7ab) + (9a²)(6b)
(6 x 7)(a x a x b) + (9 x 6)(a² x b)
(42)(a¹⁺¹ x b) + (54)(a²b)
42a²b + 54a²b
96a²b

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

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 24 as well and sum (Inside, Outside) to equal 10. For this problem, those two numbers are 4 and 6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 10y + 24
y² + (4 + 6)y + (4 x 6)
(y + 4)(y + 6)

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.