Question 215252
How do I Multiply, simplify, and write in descending order: 


{{{(t + 4)(t+1)(2t-2)}}}  



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


{{{(t+4)(t+1)=t*t+t*1+4*t+4*1=t^2+t+4t+4=t^2+5t+4}}}


Step 2.  Next we'll take the result of Sttep 1 given as {{{t^2+5t+4}}} and multiply {{{(2t-2)}}}.  Take each term in {{{t^2+5t+4}}} and multiply by {{{2t-2}}}.  Then simplify by adding like terms


{{{(t^2+5t+4)(2t-2)= t^2*(2t-2)+5t*(2t-2)+4*(2t-2)=2t^3-2t^2+10t^2-10t+8t-8= 2t^3+8t^2-2t-8}}}


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


Step 3.  ANSWER
  

{{{(t + 4)(t + 1)(2t -2)=2t^3+8t^2-2t-8}}}


I hope the above steps were helpful. 


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And good luck in your studies!


Respectfully,
Dr J