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 32 as well and sum (Inside, Outside) to equal 12. For this problem, those two numbers are 4 and 8. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 12y + 32
y² + (4 + 8)y + (4 x 8)
(y + 4)(y + 8)

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 formula for area is πr². Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr²
a = π(4²)
a = 16π

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.

9a⁸ - 2a⁸ = 7a⁸

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

a = l x w
a = a x b
a = 5 x 7
a = 35