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Math Help - Factoring and Simplifying Expressions.

  1. #1
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    Factoring and Simplifying Expressions.

    This is a for a take home test. I have completed enough problems to pass this test, but the more questions I get the higher my grade is. So, if you can help me with a question or two that would be of great help to me.

    The first question I need help states : Factor Completely

    (b+3)^3 -27

    I know I can make -27 into -3^3, but this expression is still not factored completely and the teacher will subtract a few points for that!

    The second question states : Factor Completely

    6y^2 (y^2+3)^3 (y^3 +5) + 6y (y^3+5)^2 (y^2 +3)^2
    I know that there are common factors here. I could get partial credit in this problem. I don't know how to rearrange the factors though.

    The third question states : Factor Completely
    x^4m -1
    I will check this one after I finish typing this message.

    The fourth question states: Simplify the expressions.

    x^-1 -4Y / (x^-1 -2y) (X^-1 +2y)
    This one is the one I need the most help.

    The fifth question states: Simplify the expressions.

    x-1 + 2/x-4 and this is all over / x+3 + 6/x-4.

    I got a common denominator using the LCD however I am unsure of how to proceed after. I will get partial credit but I am unsure on how to finish it off. Hopefully I get it, if not it's okay.

    The final question states: A comical funnel has a height of h of 4 inches and a lateral surfaces area L of 15pi square inches. Find the radius 2 of the cone. My brother tried to help me with this problem and we are working on it.

    If you can help me with a problem or two, that would be great and boost my grade. It would help me tremendously and could be the difference between getting a B for the quarter and an A. I need this by Monday. If you can help thanks.
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  2. #2
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    Hi there DenisNY100, welcome to MHF!

    Quote Originally Posted by DenisNY100 View Post

    The first question I need help states : Factor Completely

    (b+3)^3 -27

    I know I can make -27 into -3^3, but this expression is still not factored completely and the teacher will subtract a few points for that!
    You have started this question in the right manner. Now expand on the idea using the rule

    x^3-y^3 = (x-y)(x^2+xy+y^3)

    Have a go.. (b+3)^3 -27 = (b+3)^3 -3^3

    In your case x = b+3 and y = 3

    Also, please post one question per thread.
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  3. #3
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    Quote Originally Posted by DenisNY100 View Post
    This is a for a take home test. I have completed enough problems to pass this test, but the more questions I get the higher my grade is. So, if you can help me with a question or two that would be of great help to me.

    [snip]

    If you can help me with a problem or two, that would be great and boost my grade. It would help me tremendously and could be the difference between getting a B for the quarter and an A. I need this by Monday. If you can help thanks.
    It is MHF policy not to knowingly help with questions that count towards your final grade. Thread closed.
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