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 -6 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -2 and 3. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + y - 6
y² + (-2 + 3)y + (-2 x 3)
(y - 2)(y + 3)

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-5b(b - y)
-5(4)(4 - 2)
-5(4)(2)
(-20)(2)
-40

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.

6b - 1 = -9 + 9b
6b = -9 + 9b + 1
6b - 9b = -9 + 1
-3b = -8
b = \( \frac{-8}{-3} \)
b = 2\(\frac{2}{3}\)

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(5²) + 2π(5 x 1)
sa = 2π(25) + 2π(5)
sa = (2 x 25)π + (2 x 5)π
sa = 50π + 10π
sa = 60π

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 2) + (2 x 2 x 9) + (2 x 4 x 9)
sa = (16) + (36) + (72)
sa = 124