SOLUTION: how do I Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)

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Question 215253: how do I Multiply, simplify, and write in descending order: (t + 4)(t + 1)(2t -2)
Found 2 solutions by drj, RAY100:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do I Multiply, simplify, and write in descending order:

%28t+%2B+4%29%28t%2B1%29%282t-2%29


Step 1. Let's start with multiplying (t+4)(t+1) using the FOIL method: 1) Multiply the F-IRST Terms t*t, 2) Multiply the O-UTER terms t*1 3) Multiply the I-NNER terms 4*t and finally 4) Multiply the L-AST terms, 4*1 or

%28t%2B4%29%28t%2B1%29=t%2At%2Bt%2A1%2B4%2At%2B4%2A1=t%5E2%2Bt%2B4t%2B4=t%5E2%2B5t%2B4

Step 2. Next we'll take the result of Sttep 1 given as t%5E2%2B5t%2B4 and multiply %282t-2%29. Take each term in t%5E2%2B5t%2B4 and multiply by 2t-2. Then simplify by adding like terms



Note: What we did here is similar to the steps in Step 1.

Step 3. ANSWER

%28t+%2B+4%29%28t+%2B+1%29%282t+-2%29=2t%5E3%2B8t%5E2-2t%2B8

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J




Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
To multiply, we can use FOIL with the first two items, but we must use distribution with the last.
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To start,,,,(t+1)(2t-2)
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First term,,,,(t)*(2t) = 2t^2
Outside terms,,,(t)*(-2) = -2t
Inside terms,,,,(1)*(2t) = 2t
Last terms,,,,,,(1)*(-2) = -2
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we can combine the "t" terms,,,,-2t +2t =0
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The result is (2t^2 -2 )
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To complete the problem,,,,(t+4)*(2t^2 -2)
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Since this is only 2x2 terms we could foil again, but let's use distribution, which is more general.
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t*(2t^2-2) +4(2t^2-2)
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2t^3 -2t +8t^2 -8
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2t^3 +8t^2 - 2t -8,,,,,,final answer
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check,,let x=3,,,both original and answer = 112,,,,,ok
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