Use the FOIL method to simplify this expression.

Multiply each term of the first binomial with the terms of the second binomial.

Simplify the expression.

Combine like terms.

The answer is:

To multiply these binomials, use FOIL. Remember to multiply the first terms:

Then the outside terms:

Then the inside terms:

And the last terms:

Put those together to get:

Simplify to get your answer:

Use FOIL to multiply these binomials.

First multiply the first terms

,

then the outside terms

,

next the inside terms

,

and finally, the last terms

.

That gives you

.

Combine like terms to get your final answer of

.

Use the FOIL method to simplify this expression.

Follow suit using the order given for .

Simplify the terms.

Combine like terms and rearrange the terms from highest to lowest order.

The answer is:

This function can be expanded as

where

x=number of $0.05 changes to the initial price which will maximize potential revenue.

Since we are seeking to maximize profit, we need to find the point in this function, where a given number, x, of changes to the original price yields the greatest additional profit by balancing the additional revenue per cookie with the $0.05 decrease in cost.

In other words, we are seeking the vertex of this parabola.

First we convert the profit function into quadratic form by FOILing:

rearranging this, we find that:

Recall that

So, in order to maximize profits, we should reduce each cookie's cost by $.05 5 times.

We should sell each cookie for $0.75

Solve this expression using the FOIL method.

Use the following template for the FOIL method:

Rewrite .

Simplify the terms.

Combine like-terms and reorder the expression from highest to lowest power.

The answer is:

Multiply the first term of the first binomial with the quantity of the second binomial.

Multiply the second term of the first binomial with the quantity of the second binomial. Include the negative sign.

Add and combine like-terms.

.

The answer is:

Ignore the negative sign first. Multiply each term of the first binomial with the second binomial.

Add the terms together.

Multiply the quantity by the negative one since we initially ignored the negative sign.

The answer is:

First:

Outside:

Inside:

Last:

Use the FOIL method to expand the terms.

Use the following template to multiply the terms.

Substitute the numbers:

Simplify the terms.

Combine like-terms.

The answer is: