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?

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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
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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line 1 only line 2 only line 1 and line 2 neither line 1 or lime 2
Do you know how to distribute out the parenthesis? e.g) (x+1)(x+2)

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

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