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anonymous

  • one year ago

anyone good at multiplying polinolyals?

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  1. jim_thompson5910
    • one year ago
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    post the question please

  2. anonymous
    • one year ago
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    (y+2)(x+3)

  3. jim_thompson5910
    • one year ago
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    what I would do is create a table like this |dw:1440551733478:dw|

  4. jim_thompson5910
    • one year ago
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    the y+2 goes up top |dw:1440551751828:dw|

  5. jim_thompson5910
    • one year ago
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    and the x+3 goes off to the side |dw:1440551769374:dw|

  6. jim_thompson5910
    • one year ago
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    to fill this table out, we just multiply the headers example: 2 times 3 = 6 which goes in the second row, second column |dw:1440551792711:dw|

  7. jim_thompson5910
    • one year ago
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    do you see how to fill out the rest?

  8. anonymous
    • one year ago
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    kinda but the first one no

  9. jim_thompson5910
    • one year ago
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    x times y is simply xy |dw:1440551935391:dw|

  10. jim_thompson5910
    • one year ago
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    2 times x is equal to what?

  11. anonymous
    • one year ago
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    2x

  12. jim_thompson5910
    • one year ago
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    yes |dw:1440552012525:dw|

  13. jim_thompson5910
    • one year ago
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    and the last box?

  14. anonymous
    • one year ago
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    3y

  15. jim_thompson5910
    • one year ago
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    |dw:1440552095890:dw|

  16. jim_thompson5910
    • one year ago
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    now you just add up everything in the boxes \[\Large xy + 2x + 3y + 6\] there are no like terms to combine so we leave it as that

  17. jim_thompson5910
    • one year ago
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    this all means \[\Large (x+3)(y+2) = xy + 2x + 3y + 6\]

  18. anonymous
    • one year ago
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    3x 4y and 6

  19. jim_thompson5910
    • one year ago
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    what do you mean?

  20. anonymous
    • one year ago
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    thats all them added

  21. anonymous
    • one year ago
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    but idk what to do with the 6

  22. jim_thompson5910
    • one year ago
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    you cannot add 3x to 2y to get 5x or 5y or 5xy they aren't like terms

  23. anonymous
    • one year ago
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    i added 3y and y

  24. jim_thompson5910
    • one year ago
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    \(\Large xy + 2x + 3y + 6\) is as simplified as it gets

  25. jim_thompson5910
    • one year ago
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    there is no y term other than the 3y the xy cannot be added to 3y to get 4y

  26. anonymous
    • one year ago
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    so i dont need to use horizontal or vertical method?

  27. jim_thompson5910
    • one year ago
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    you could if you want, but I prefer the table.

  28. jim_thompson5910
    • one year ago
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    the horizontal or vertical method makes it hard to keep track of the individual terms whereas the table doesn't have that problem

  29. anonymous
    • one year ago
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    so are there going to be other probs where they are more simplified?

  30. jim_thompson5910
    • one year ago
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    yes, for example (x+2)(x-7) |dw:1440552711856:dw|

  31. jim_thompson5910
    • one year ago
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    |dw:1440552729820:dw|

  32. jim_thompson5910
    • one year ago
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    we now have like terms 2x and -7x they combine to -5x

  33. jim_thompson5910
    • one year ago
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    so, (x+2)(x-7) = x^2 - 5x - 14

  34. anonymous
    • one year ago
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    oh ok

  35. anonymous
    • one year ago
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    thanks

  36. jim_thompson5910
    • one year ago
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    no problem

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