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anonymous

  • 5 years ago

Factor Completely: 18x2 - 32y2

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  1. anonymous
    • 5 years ago
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    -4 (8 y^2-9)

  2. anonymous
    • 5 years ago
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    Or 36-32 y^2 2 (3 sqrt(2)-4 y) (4 y+3 sqrt(2))

  3. anonymous
    • 5 years ago
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    a) 2(9x2 - 16y2) b) 2(3x + 4y)(3x - 4y) c) (9x - 16y)(2x + 2y) d) Can't be factored.

  4. anonymous
    • 5 years ago
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    a

  5. anonymous
    • 5 years ago
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    a is identical to my first reply

  6. anonymous
    • 5 years ago
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    b. if you multiply out b you get the result.

  7. anonymous
    • 5 years ago
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    is it a or b

  8. anonymous
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=factor18x2+-+32y2

  9. anonymous
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=2%289x2+-+16y2%29

  10. anonymous
    • 5 years ago
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    they are the same

  11. anonymous
    • 5 years ago
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    It's b. 9x^2 - 16y^2 is the difference of two squares. (3x+4y)(3x-4y)

  12. anonymous
    • 5 years ago
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    but because the question asks you to factor completely you want b.

  13. anonymous
    • 5 years ago
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    the original expression is 18x2 - 32y2

  14. anonymous
    • 5 years ago
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    o

  15. anonymous
    • 5 years ago
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    so the first step is to factor out the 2: 2(9x^2 - 16y^2) and then factor the second part as I mentioned above.

  16. anonymous
    • 5 years ago
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    ah I see what you did gotcha. Yes B is more accurate.

  17. anonymous
    • 5 years ago
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    I didn't simplify the first factorization I gave correctly.

  18. anonymous
    • 5 years ago
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    -4 (8 y^2-9) and 2(3x + 4y)(3x - 4y) are the same

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