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)(8ab) + (5a²)(5b)
(2 x 8)(a x a x b) + (5 x 5)(a² x b)
(16)(a¹⁺¹ x b) + (25)(a²b)
16a²b + 25a²b
41a²b

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.

-6y - 9 < \( \frac{y}{9} \)
9 x (-6y - 9) < y
(9 x -6y) + (9 x -9) < y
-54y - 81 < y
-54y - 81 - y < 0
-54y - y < 81
-55y < 81
y < \( \frac{81}{-55} \)
y < -1\(\frac{26}{55}\)

The volume of a cylinder is πr²h:

v = πr²h
v = π(6² x 1)
v = 36π

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

a = l x w
a = a x b
a = 2 x 9
a = 18

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x² + 3x - 29 = 3x - 4
x² + 3x - 29 + 4 = 3x
x² + 3x - 3x - 25 = 0
x² - 25 = 0

Next, factor the quadratic equation:

x² - 25 = 0
(x - 5)(x + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 5) or (x + 5) must equal zero:

If (x - 5) = 0, x must equal 5
If (x + 5) = 0, x must equal -5

So the solution is that x = 5 or -5