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.

(4a)(5ab) + (5a²)(2b)
(4 x 5)(a x a x b) + (5 x 2)(a² x b)
(20)(a¹⁺¹ x b) + (10)(a²b)
20a²b + 10a²b
30a²b

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 -4 as well and sum (Inside, Outside) to equal 0. For this problem, those two numbers are -2 and 2. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 4
y² + (-2 + 2)y + (-2 x 2)
(y - 2)(y + 2)

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

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 equal sign and the answer on the other.

7z - 8 = 2 + 3z
7z = 2 + 3z + 8
7z - 3z = 2 + 8
4z = 10
z = \( \frac{10}{4} \)
z = 2\(\frac{1}{2}\)

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.