For each expression listed, is it a difference of squares? Explain yes or no and why or why not. Explain in enough detail so there is no doubt that it is or isn't a difference of squares. 1. y5 − 25 2. 9m2n2 − 121 3. p18 − q10 4. 16r2 − 27

If we can write a polynomial in the form , then we can factor it as:

In this problem, we have the following expressions:

So we could write 2 as a difference of squares.

So we could write 2 as a difference of squares.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

c

step-by-step explanation: