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

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) (Show Source): You can put this solution on YOUR website!
How do I Multiply, simplify, and write in descending order:

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

Step 2. Next we'll take the result of Sttep 1 given as and multiply . Take each term in and multiply by . Then simplify by adding like terms

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

Step 3. ANSWER

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) (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.
.
To start,,,,(t+1)(2t-2)
.
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)
.
Since this is only 2x2 terms we could foil again, but let's use distribution, which is more general.
.
t*(2t^2-2) +4(2t^2-2)
.
2t^3 -2t +8t^2 -8
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2t^3 +8t^2 - 2t -8,,,,,,final answer
.
check,,let x=3,,,both original and answer = 112,,,,,ok
.
.

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