This is a graded discussion: 100 points possible due Mar 18 DQ - Week 8 16 16 No

Question

This is a graded discussion: 100 points possible due Mar 18 DQ - Week 8 16 16 Note: see "Discussion Questions Tips (a PDF file) under "Announcements" at the left for information and guidance on discussions, or if you are stuck on what to write. Be sure to write a post of your own, and also respond to another student's post with constructive feedback, in order to receive full credit! Question: What exactly makes the FOIL method similar to using the Distributive Property? Try rewriting an example of binomial multiplication as a combination of two applications of the Distributive Property. Challenge: We can use FOIL to get a formula for (a+b)2. What about (a+b)3 (a+b)4, or (a+b)n, where n is a positive integer? Initial post due Sunday. 11:59 PM, EST. Discussion board closes Tuesday, 11:59 PM, EST Review the rubric to see how this discussion will be graded. Click on the gear above and select Show Rubric.

Explanation / Answer

Question:

The FOIL method can be used as a distributive property

Example:

(a+b)(c+d) = a(c+d) + b(c+d) [ In the first step, (C+D) is distributed]

= ac + ad + bc + bd [ In the second step, c and d are distributed]

Hence the foil method can be used as a two process distribution to solve the problem

Challenge:

Yes, we can use the FOIL method to get the answer to (a+b)^2

(a+b)(a+b) = a^2 + ab + ba + b^2 = a^2 + b^2 + 2ab

The foil method cannot be directly applied to more than two multiplicands, we need to first solve the residual by breaking them apart

write (a+b)^3 = (a+b)^2 * (a+b) [ Solve for (a+b)^2, first and then multiply (a+b)]

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