The expression x2 - 36y2 is equivalent to

(x + 6y)(x - 6y)

Step-by-step explanation:

The expression x² - 36y² can be factored.

Since the expression is a difference (subtraction) between two numbers that are square (x² = x*x and 36y² = 6y*6y), the factoring can be done as a "difference of squares".

The rules is generalized as:

To factor x² - 36y², take each square roots for each of the numbers and add and subtract between them.

x² - 36y²

= (√x² + √36y²)(√x² - √36y²)

= (x + 6y)(x - 6y)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the answers c