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anonymous

  • one year ago

What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared plus 8y plus 15?

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  1. welshfella
    • one year ago
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    y^2 - y - 12 ---------- y^2 + 8y + 15

  2. anonymous
    • one year ago
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    y minus 4 over y minus 5 y minus 4 over y plus 5 y plus 4 over y minus 5 y plus 4 over y plus 5 those are the answer choics

  3. welshfella
    • one year ago
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    factor top and bottom and see if there any common factors

  4. welshfella
    • one year ago
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    can you factor y^2 - y - 12?

  5. anonymous
    • one year ago
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    no

  6. anonymous
    • one year ago
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    i have another question after this

  7. welshfella
    • one year ago
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    they will look like (y + a)(y + b) where the product AB will = -12 and a + b will equal -1

  8. welshfella
    • one year ago
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    can you think of 2 numbers whose product is -12?

  9. anonymous
    • one year ago
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    3 and 4

  10. welshfella
    • one year ago
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    3nearl right 3 * 4 = 12 but we want -12

  11. anonymous
    • one year ago
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    -4 and 3

  12. welshfella
    • one year ago
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    * nearly

  13. welshfella
    • one year ago
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    ok that might be the ones we want do they add up to -1?

  14. anonymous
    • one year ago
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    yeah is it the second optiion

  15. welshfella
    • one year ago
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    we haven't got that far yet we need to factor the denominator next. yes a = 3 and b = -4 so the factors of the top of the fraction are (x + 3)(x - 4) now can you factor the denominator by the same method?

  16. anonymous
    • one year ago
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    3 and 5

  17. anonymous
    • one year ago
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    its the second option

  18. welshfella
    • one year ago
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    right so we have (y + 3)(y - 4) ---------- (y + 3)(y + 5) y + 3 is common

  19. welshfella
    • one year ago
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    yea second choice is correct

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