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:

(y + 8)(y - 6)
(y x y) + (y x -6) + (8 x y) + (8 x -6)
y² - 6y + 8y - 48
y² + 2y - 48

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

a = ½bh
a = ½ x 1 x 3 = \( \frac{3}{2} \) = 1\(\frac{1}{2}\)

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

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.

(6a)(7ab) - (8a²)(6b)
(6 x 7)(a x a x b) - (8 x 6)(a² x b)
(42)(a¹⁺¹ x b) - (48)(a²b)
42a²b - 48a²b
-6a²b

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

4a + 8a = 12a