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).

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

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:

y² - 5y - 2 = -y + 3
y² - 5y - 2 - 3 = -y
y² - 5y + y - 5 = 0
y² - 4y - 5 = 0

Next, factor the quadratic equation:

y² - 4y - 5 = 0
(y + 1)(y - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y - 5) must equal zero:

If (y + 1) = 0, y must equal -1
If (y - 5) = 0, y must equal 5

So the solution is that y = -1 or 5

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.

(5a)(7ab) - (2a²)(9b)
(5 x 7)(a x a x b) - (2 x 9)(a² x b)
(35)(a¹⁺¹ x b) - (18)(a²b)
35a²b - 18a²b
17a²b

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 x 2b = (3 x 2) (a x b) = 6ab