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? asked in Education & ReferenceHomework Help · 7 years ago

9th Grade Algebra HELP???

So i need to factor 4 equations, i did one, i cannot for hell figure out the next three, i need some one to show me the steps to doing it,

This is the one i did----->3x^3-33x^2+90x i factored it to 3x^2(x-30)(x+3)

Here are the others, answers and help would be greatly appreciated

2-(4m^2)-(4n^2) its not a mistake m and n are diffrent variables

3-(y^8)-(81x^4)

4- this is the tricky one lol (-2x^3)-(2x^2)+(112x)

Btw if you dont know, when i use this symbol ^ it means to the power of, its and exponent symbol, Thanks for the help!

2 Answers

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  • ?
    Lv 5
    7 years ago
    Favorite Answer

    (4m^2) - (4n^2) This is a Difference of 2 squares problem;

    (2m - 2n)(2m + 2n)

    That's your answer

    (y^8) - (81x^4) This is also the Difference of 2 squares problem:

    (y^4 - 9x^2)(y^4 + 9x^2) The first parenthesis is another Diff of 2 Sq.

    (y^2 - 3x)(y^2 + 3x)(y^4 + 9x^2)

    That's your answer.

    (-2x^3)-(2x^2)+(112x)

    -2x(x^2 + x - 56)

    -2x(x + 8)(x - 7)

    That's your answer

    Hope this helps. Let me know if you need more assistance. I'm on Messenger or by email.

    Best of luck.

  • ?
    Lv 7
    7 years ago

    #1 is wrong. divide THROUGH by 3x and get 3x*(x^2 - 11x + 30)

    now, 6*5=30, and 6+5 = 11 (but watch the signs) 3x*(x-6)(x-5)

    Have you heard of "the difference of the squares? [[p s say 2: or 2) not 2- ]]

    2) (2m)^2 - (2n)^2 = [ (2m) - (2n) ] * [ (2m) + (2n) ] {idk if your teacher wants the 2 's

    factored out, or not}

    3) sort of same thing, but you will have a second difference of the squares

    4) factor out (-2x) a la #1 ... then you have to find an a and (a+1) where (a)*(a+1) = -56

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