Factoring the expression 20a^3b^3 – 24a^5b^2 + 4a^3b^2 gives a new expression of the form Ua^xb^y (Wa^2 + Vb+ z), where U > 0.
What is the value of U?
What is the value of W?
What is the value of V?
What is the value of Z?
What is the value of x?
What is the value of y?

Step-by-step explanation:

Then given expression is:

To express the given expression in the form:

and to find the values of .

First of all, let us check the maximum common powers of in each term from the given expression.

The maximum common power of is 3 and

The maximum common power of  is 2.

So, we can take common out of each term.

And maximum common coefficient that can be taken out common is 4.

Taking 4 common from each term of given expression, we get:

Now, let us compare the given term with:

=

Now, the values that we get the following values:

which is our answer.

  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).