You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

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.

(7a)(8ab) - (3a²)(2b)
(7 x 8)(a x a x b) - (3 x 2)(a² x b)
(56)(a¹⁺¹ x b) - (6)(a²b)
56a²b - 6a²b
50a²b

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

b² + 2b - 48 = 0
(b - 6)(b + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 6) or (b + 8) must equal zero:

If (b - 6) = 0, b must equal 6
If (b + 8) = 0, b must equal -8

So the solution is that b = 6 or -8

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 4 x 2 = \( \frac{8}{2} \) = 4