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help_people

  • one year ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x2 + 5x + 6 (x + 2)(x + 3) (x + 2.5)2 + 6.25 Which line contains three equivalent expressions? Line 1 only Line 2 only Both Line 1 and Line 2 Neither Line 1 nor Line 2

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  1. help_people
    • one year ago
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    @DanJS

  2. DanJS
    • one year ago
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    keep the first entries the same, expand out the second and third and compare those to the first

  3. help_people
    • one year ago
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    how would or do that?

  4. DanJS
    • one year ago
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    (x + 1)(x+ 2) = x^2 + 2x + x + 2 = x^2 + 3x + 2 that one matches

  5. DanJS
    • one year ago
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    (x+1.5)^2 - 0.25 = x^2 + 1.5x + 1.5x + 2.25 - 0.25 = x^2 + 3x + 2 That one is also the same, so line 1 is all same

  6. DanJS
    • one year ago
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    test the second line

  7. help_people
    • one year ago
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    ok, but I'm still not sure how to test the second line but i will give it a shot

  8. help_people
    • one year ago
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    yea I'm not sure the 1st line looks easier this one does not trust me I'm not trying for you to do my work but I'm still not sure how to do the second lien the first line looked a little easier though :/ @DanJS

  9. DanJS
    • one year ago
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    \[(x+2.5)^2 + 6.5 = x^2+2.5x+2.5x+6.25 + 6.25\]

  10. DanJS
    • one year ago
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    that doesn't simplify to the same as the first entry line 2

  11. help_people
    • one year ago
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    ??? @DanJS

  12. help_people
    • one year ago
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    are you saying the answer a ?

  13. help_people
    • one year ago
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    @welshfella

  14. DanJS
    • one year ago
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    yes

  15. help_people
    • one year ago
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    wait so line b I'm sorry just confirming @DanJS

  16. help_people
    • one year ago
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    i mean to say lien 1 @DanJS

  17. DanJS
    • one year ago
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    yea

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