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Math Help - Problems I need help with...

  1. #1
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    Nov 2007
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    9

    Problems I need help with...

    Problem 1. 4x (3x3 5x2)

    Problem 2. a3 (2a2 + 6a + 5)

    Problem 3. 5y4 4y3 3y2 + y3 + 3y2 + 2 + 6y 5

    Problem 4. (x2 + 7x + 12) ( x3 + 2x2 x + 1)

    Problem 5. 5x3 6x2 + x + 3 (x3 3x2 x)

    Problem 6. y2 + 3y + 6 + 4 (y2 3y 4)

    Problem 7. a3b2 (3a2 4ab + 5b2)

    Problem 8. 7xy (x3 + 3x2y 3xy2 + y3)

    Problem 9. mn2 (m2 4mn 6n2) 4mn2 (6m2 n2)

    Problem 10. (a2 + 3a + 4) + (5a3 a + 2)

    Problem 11. (y4 2y2 y) + ( 2y3 y2 4y)

    Problem 12. Subtract a2 4a from 3a3 + 4a2 + a + 3

    Problem 13. Subtract a3 + 2a from a3 + a2 a + 3

    Thank you.
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  2. #2
    Super Member

    Joined
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    Lexington, MA (USA)
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    Hello, slykksta!

    I'll do a few of these for you.
    If you really need help of all of these, I suggest you see your teacher/tutor.
    You seem to be missing a lot of information!



    1)\;\;4x(3x^3 - 5x^2)
    You're expected to know how to "distribute" terms and simplify.

    (4x)(3x^3) - (4x)(5x^2) \;\;=\;\;12x^4 - 20x^3




    3)\;\; 5y^4 - 4y^3 - 3y^2 + y^3 + 3y^2 + 2 + 6y - 5
    You're expected to know how to combine "like" terms.


    We have: . 5y^4 \,\underbrace{-4y^3 \,+ \,y^3}\, \underbrace{-\,3y^2 + 3y^2}\,+\,6y \,\underbrace{+\,2 - 5}\;\;= \;\;5y^4 -3y^3 + 6y - 3




    4)\;\;(x^2 + 7x + 12) - ( -x^3 + 2x^2 - x + 1)
    We have: . x^2 + 7x + 12 + x^3 - 2x^2 + x - 1 \;\;=\;\;x^3 - x^2 + 8x + 11



    7)\;\;a^3b^2 (3a^2 - 4ab + 5b^2)

    Distribute and use the exponent rules:

    . . (a^3b^2)(3a^2) - (a^3b^2)(4ab) + (a^3b^2)(5b^2) \;\;=\;\;3a^5b^2 - 4a^4b^3 + 5a^3b^4




    12)\;\;\text{Subtract }a^2 - 4a \text{ from }3a^3 + 4a^2 + a + 3
    We have: . (3a^3+4a^2+a+3) - (a^2-4a)

    . . =\;\;3a^3 + 4a^2 + a + 3 - a^2 - 4a \;=\;3a^3 + 3a^2 - 3a + 3

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