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.

(3a)(8ab) + (4a²)(3b)
(3 x 8)(a x a x b) + (4 x 3)(a² x b)
(24)(a¹⁺¹ x b) + (12)(a²b)
24a²b + 12a²b
36a²b

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

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.

-y - 9 < \( \frac{y}{-2} \)
-2 x (-y - 9) < y
(-2 x -y) + (-2 x -9) < y
2y + 18 < y
2y + 18 - y < 0
2y - y < -18
y < -18
y < \( \frac{-18}{1} \)
y < -18

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

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, \(c = \sqrt{a + b}\)