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anonymous

  • one year ago

What is factored version of b^2-16

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  1. jim_thompson5910
    • one year ago
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    hint1: 16 is a perfect square; 16 = 4^2 hint2: a^2 - b^2 = (a-b)*(a+b) is the difference of squares rule

  2. anonymous
    • one year ago
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    B-4 ??

  3. jim_thompson5910
    • one year ago
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    that's part of it

  4. anonymous
    • one year ago
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    (B-4)(b-4) ??

  5. jim_thompson5910
    • one year ago
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    example: 9x^2 - 25 = (3x)^2 - 5^2 = (3x-5)(3x+5)

  6. jim_thompson5910
    • one year ago
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    (b-4)(b-4) is close but not quite there

  7. anonymous
    • one year ago
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    (B-4)(b+4)

  8. jim_thompson5910
    • one year ago
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    yes

  9. jim_thompson5910
    • one year ago
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    I recommend expanding that out to confirm the answer

  10. anonymous
    • one year ago
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    Thank you :) can you help with a couple more??

  11. jim_thompson5910
    • one year ago
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    sure

  12. anonymous
    • one year ago
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    Y^2-2y-15 Would it be (y-5)(y+3) ?

  13. jim_thompson5910
    • one year ago
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    you are correct

  14. anonymous
    • one year ago
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    Okay :) what about 3x^2+9x?

  15. jim_thompson5910
    • one year ago
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    hint: factor out the GCF

  16. anonymous
    • one year ago
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    Would it be (x+3)^2

  17. jim_thompson5910
    • one year ago
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    hint: \[\Large 3x^2 + 9x\] \[\Large 3x*x + 3x*3\] \[\Large \color{red}{3x}*x + \color{red}{3x}*3\]

  18. anonymous
    • one year ago
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    X+3 ??

  19. jim_thompson5910
    • one year ago
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    do you see how there's the common factor of 3x? we can factor it out to get 3x(x+3) if you distribute the 3x back in, you should get the original expression back

  20. anonymous
    • one year ago
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    X^2+3

  21. jim_thompson5910
    • one year ago
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    |dw:1442547042355:dw|

  22. jim_thompson5910
    • one year ago
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    |dw:1442547055091:dw|

  23. jim_thompson5910
    • one year ago
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    |dw:1442547069453:dw|

  24. jim_thompson5910
    • one year ago
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    |dw:1442547082026:dw|

  25. anonymous
    • one year ago
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    I understand that

  26. jim_thompson5910
    • one year ago
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    ok great

  27. anonymous
    • one year ago
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    Could you explain how to find the answer?

  28. anonymous
    • one year ago
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    Wait is the answer 3x(x+3) ??

  29. jim_thompson5910
    • one year ago
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    yeah it's as factored as much as possible

  30. anonymous
    • one year ago
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    Thank you :) I have 3 more questions for you okay?

  31. jim_thompson5910
    • one year ago
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    ok start a new question to avoid clutter

  32. anonymous
    • one year ago
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    Okay

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