anonymous
  • anonymous
Two sets of equatic expressions are shown below in various forms: Line 1: x^2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)^2 − 0.25 Line 2: x^2 + 5x + 6 (x + 2)(x + 3) (x + 2.5)^2 + 6.25 Which line contains three equivalent expressions?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
line 1 only line 2 only line 1 and line 2 neither line 1 or lime 2
anonymous
  • anonymous
@myininaya
johnweldon1993
  • johnweldon1993
Do you know how to distribute out the parenthesis? e.g) (x+1)(x+2)

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anonymous
  • anonymous
I think so don't you use FOIL? @johnweldon1993
johnweldon1993
  • johnweldon1993
Yes use foil to distribute those out..in both cases
anonymous
  • anonymous
line 1 x^2 +2x+x+2 line 2 x^2+3x+2x+6 is that correct @johnweldon1993
johnweldon1993
  • johnweldon1993
yes...now just combine like terms...and we have line 1) x^2 + 3x + 2 line 2) x^2 + 5x + 6 So far those match the first part of each line...so we move onto the next part as well So now we need to distribute the line 1) (x + 1.5)^2 - 0.25 line 2) (x + 2.5)^2 + 6.25
anonymous
  • anonymous
then it would be x^2 +1.5^2-0.25 x^2+2.5^2+6.25
anonymous
  • anonymous
@johnweldon1993
johnweldon1993
  • johnweldon1993
Ahh not quite :) So think of something like \[\large (x + a)^2 \rightarrow (x + a)(x + a)\]
anonymous
  • anonymous
oo so it would be (x+1.5)(x+1.5)-0.25 (x+2.5)(x+2.5)+6.25 @johnweldon1993
johnweldon1993
  • johnweldon1993
Correct....so you foil those parenthesis out and then just simplify :)
anonymous
  • anonymous
the first one should be x^2+3x+2
anonymous
  • anonymous
the second one should be x^2+5x+12.5
johnweldon1993
  • johnweldon1993
Perfect....so as you can see...line 1 is the same...but line 2 is no longer the same..thus the answer is...?
anonymous
  • anonymous
line 1 only @johnweldon1993
johnweldon1993
  • johnweldon1993
There we go :)
anonymous
  • anonymous
thank you so much @johnweldon1993

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