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Shikar23234

  • 2 years ago

Simplify: (x - 4)2 x2 - 16 x2 - 8 x2 - 8x + 16 x2 - 16x + 8

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  1. sam30317
    • 2 years ago
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    When you have a squard function (or any function raised to an exponent), u need to set it up as: (x-4)(x-4)

  2. sam30317
    • 2 years ago
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    |dw:1339623456630:dw|

  3. Shikar23234
    • 2 years ago
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    So it would be x2 -8?

  4. sam30317
    • 2 years ago
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    Nope. U now need to distribute the x and 4 (multiply) with the terms in the OTHER parenthesis

  5. sam30317
    • 2 years ago
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    (x-4)(x-4)= (x*x) - (4*x) = (x^2-4x) <--- this is only part of it

  6. Shikar23234
    • 2 years ago
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    Oh!!!! So you basically just multiply the x to the other side and then do the same with the 4. So it would be 4 times x then 4 times 4. Right?

  7. sam30317
    • 2 years ago
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    Right!!!

  8. sam30317
    • 2 years ago
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    Show me your answer when finished

  9. Shikar23234
    • 2 years ago
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    So i know the 16 goes on the very end so im thinking its C but i dont know how it gets the 8.

  10. sam30317
    • 2 years ago
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    Pay attention to your pos/neg signs when you combine like terms. x^2 -4x-4x+16 ---> Because you have two of the same (-4x), u combine them. -4-4= -8. Do u see??

  11. Shikar23234
    • 2 years ago
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    Sort of. So its basically x - y + (y*y) ?

  12. sam30317
    • 2 years ago
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    Errr, i dont understand that little formula. Im sorry. Let me try another way. 1st, do u see why I have two -4's??

  13. Shikar23234
    • 2 years ago
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    Uhm yea. because its (x-4) and (x-4). So you just put them togeather. x= x2 and -4= -8. Right?

  14. sam30317
    • 2 years ago
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    Hmmm, u're right. But Hopefully u wont confuse yourself with that formula u had before

  15. Shikar23234
    • 2 years ago
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    Well what i dont understand is why you have to multiply it when your just simplifying it.

  16. sam30317
    • 2 years ago
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    Simplify means that you are turning the function/equation into ONE form. Basically, you want to combine all like terms on both sides and reduce it to it's simplest form.

  17. Shikar23234
    • 2 years ago
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    But then what if your multiplying it? For instance 5xy(2x - y). Does that mean you just to the same thing?

  18. sam30317
    • 2 years ago
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    The 1st problem u had above, is not giving us any information. But in it's simplest form, we can find maximums & minimums of a graph, points of intersection, slope. You'll learn about all that stuff later. But you cant find the information you need with it being in the simplest form

  19. sam30317
    • 2 years ago
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    Yes, u do the same thing

  20. sam30317
    • 2 years ago
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    BUT, 5xy is considered ONE term. Dont separate the 5 from x & y

  21. Shikar23234
    • 2 years ago
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    So you just separate the 5xy from the (2x - y) ? Then multiply the 2 together?

  22. sam30317
    • 2 years ago
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    No need to separate anything. A number infront of a parenthesis also means to multiply. Or, to distribute the 1st number with each number on the inside of the parenthesis

  23. sam30317
    • 2 years ago
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    Try 10(9x+3)

  24. sam30317
    • 2 years ago
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    It means that (10*9x) PLUS (10*3).

  25. sam30317
    • 2 years ago
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    |dw:1339625177685:dw|

  26. Shikar23234
    • 2 years ago
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    So it would be 90x+30. Would you need to simplify?

  27. sam30317
    • 2 years ago
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    CORRECT! If it is simplified again, it would go back to its orginal form 10(9x+3)

  28. sam30317
    • 2 years ago
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    Ok, i really suck at explaining! im sorry

  29. Shikar23234
    • 2 years ago
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    Ohhhhhh! I understand now! Thank you!!!!!

  30. sam30317
    • 2 years ago
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    cooool! No problem. Do u get the -8 though? I can draw a pic.

  31. Shikar23234
    • 2 years ago
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    Yea i understand that part now. Seriously though thanks abunch!

  32. sam30317
    • 2 years ago
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    Cool. Glad i helped somehow

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