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anonymous

  • one year ago

3y^5-75y^3

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  1. welshfella
    • one year ago
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    if you want to factor this you need to find the GCF

  2. welshfella
    • one year ago
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    find GCF of 3 and 75 and GCF of y^3 and y^5

  3. anonymous
    • one year ago
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    y and idk

  4. welshfella
    • one year ago
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    what number divides exactly into 3 and 75?

  5. welshfella
    • one year ago
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    - that is the GCF

  6. anonymous
    • one year ago
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    1

  7. welshfella
    • one year ago
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    yes 1 does but its not the greatest factor that divides into 3 and 75

  8. anonymous
    • one year ago
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    3

  9. welshfella
    • one year ago
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    right the GCF is 3 what about y^3 and y^5 ?

  10. welshfella
    • one year ago
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    y will but its not the greatest factor

  11. anonymous
    • one year ago
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    y^3

  12. welshfella
    • one year ago
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    right! so GCF is 3y^3

  13. welshfella
    • one year ago
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    now you need to divide 3y^3 into 3y5 - 75y^3 to find what goes into the parentheses

  14. anonymous
    • one year ago
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    3y^3(y^2-25y)

  15. welshfella
    • one year ago
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    i'll do the first part for you 3y^5 / 3y^3 = y^(5-3) = y^2

  16. welshfella
    • one year ago
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    you are almost right but 75 y^3 / 3y^3 = 25 not 25y

  17. anonymous
    • one year ago
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    oh k

  18. welshfella
    • one year ago
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    correct is 3y^3(y^2 - 25)

  19. anonymous
    • one year ago
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    now what do we do

  20. welshfella
    • one year ago
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    pretty good job

  21. welshfella
    • one year ago
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    that is it we have factored it

  22. anonymous
    • one year ago
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    k thanks

  23. welshfella
    • one year ago
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    oops sorry y6 - 25 can be factored also - nearly missed that

  24. welshfella
    • one year ago
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    y^2 - 25 is the difference of 2 squares y^2 and 25 are exact squares square root of y^2 is y and square root of 25 is 5 right?

  25. anonymous
    • one year ago
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    right

  26. welshfella
    • one year ago
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    so the factors are 2 binomials with square roots in eachh and + in one binomial and - in the other y^2 - 25 = ( y + 5)(y - 5)

  27. anonymous
    • one year ago
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    thanks that was a close call

  28. welshfella
    • one year ago
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    finally 3y^5-75y^3 = 3y^3(x + 5)(x - 5)

  29. anonymous
    • one year ago
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    thanks that was a close call

  30. welshfella
    • one year ago
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    yea - watch out for those lol

  31. welshfella
    • one year ago
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    - i should have put y's not x's I guess I'm tired

  32. welshfella
    • one year ago
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    3y^5-75y^3 = 3y^3(y + 5)(y - 5)

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