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Math Help - Algebra Review Help

  1. #1
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    Algebra Review Help

    These are the questions i cannot seem to answers from my review, any help would be great!

    Factor the following trinomials (sanity check)

    1)  6t^3 - 8t^2 (COMPLETED)

    2) 4p^2 - 12pg - 9q^2 (COMPLETED)

    Identify the coefficents, factors and terms and like terms for the following

    3) 26a^2 cd^3 (COMPLETED)

    4) 6(x-y) + (x+y) -3(x-y) (COMPLETED)

    Simplify

    5) (t - 5x) - {[(6p^2 - x) - 9 ] - (6t + p^2 - x)} (COMPLETED)

    6) Subtract 5 - 3x from the sum of 6s + 5 - 2x and 4a^2 - 5x + 2 (COMPLETED)

    Multiply the folliwng expressions and reduce where possible

    7) (-4rs)(-3st^2)(-7rt) (COMPLETED)

    8) (3x - 2)(2x^2 + x - 3) (COMPLETED)

    9) (cx^3y)^5 (COMPLETED)

    Divide the following expressions

    10) \frac{-12a^5b^4c^8}{18a^5b^2c^5} (COMPLETED)

    11) \frac{a^2b^3 - 2a^3b^4 + ab + a^2b^2}{-ab}

    Factor

    12) 18x^2y^2 - 30x^3y^3 + 54x^3y

    13) xy + x + 3y + 3 (COMPLETED)
    Last edited by Keat; November 16th 2009 at 09:24 PM.
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  2. #2
    Super Member bigwave's Avatar
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    well the first one is

    6t^3 - 8t^2

    2t^2(3t-8)

    the next one may not be written correct
    do you mean

    4p^2 - 12pq - 9q^2

    instead?



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  3. #3
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    Quote Originally Posted by bigwave View Post


    4p^2 - 12pq + 9q^2


    Its actually a positive, sorry

    Thanks for the reply!!
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  4. #4
    Super Member bigwave's Avatar
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    4p^2 - 12pq + 9q^2
    this factors into

    <br />
(2p-3q)(2p-3q) \ or \ (2p-3q)^2<br />
    you can use the quadractic formula to find the coefiecents but
    this one the hint is the a and c parts are squares.

    I will do the rest of them if you want....
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  5. #5
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    Id be more than in debt to you if you could help me out with them,

    Im really trying my best to get all 100+ questions done, those are just the ones ive had trouble with

    If you wouldn't mind, Id be so grateful!
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  6. #6
    Super Member bigwave's Avatar
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    Identify the coefficents, factors and terms and like terms for the following

    recall that

    coefficents is a constant the mulitplies to the varable

    factors are one or more expressions that are mulitplied to get a product

    like terms are... 6(x-y) and -3(x-y) they just have different coeficents

    expressions are Symbols that represent numbers or operations. A way of writing something that uses numbers and symbols.
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  7. #7
    Super Member bigwave's Avatar
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    simplify

    (t - 5x) - [(6p^2 - x) - 9 ] - (6t + p^2 - x)<br />

    first expand the brackets

    t - 5x - 6p^2 + x + 9 - 6t - p^2 + x

    combine like terms

    -7p^2 - 3x - 5t + 9

    other possiblities too...
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  8. #8
    Super Member bigwave's Avatar
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    6) Subtract from the sum of and

    6s + 5 - 2x + 4a^2 - 5x + 2 - 5 + 3x

    combine like terms

    6s -4x + 4a^2 + 2
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  9. #9
    Super Member bigwave's Avatar
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    7)

    -84r^2s^2t^3
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  10. #10
    Super Member bigwave's Avatar
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    (3x - 2)(2x^2 + x - 3)

    2x^2(3x-2) + x(3x - 2) -3(3x -2)

    6x^3-4x^2+3x^2-2x-9x^2+6

    6x^3-10x^2-2x+6
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  11. #11
    Super Member bigwave's Avatar
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    \frac{-2b^2c^3}{3}
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  12. #12
    Super Member bigwave's Avatar
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    = \ \frac{(ab)(ab^2-2a^2b^3+1+ab)}{-ab}

    = \ -(ab^2-2a^2b^3+1+ab)
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  13. #13
    Super Member bigwave's Avatar
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    12)


    <br />
6x^2y(3y-5xy^2+9x)


    good luck on your test
    these questions ..... have too be very carefull
    easy to make mistakes....
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