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how would you factor (5(x+2)^4)+(3x(x+2)^3)-(2x(x+2)^2).
I have so far gotten it down to 2(3x^4+25x^3+74x^2+92x+40) but i'm not sure that i am doing this right.

  • math -

    you went the wrong way, you expanded.

    notice the common factor of (x+2)^2
    so your expression is
    (x+2)^2[5(x+2)^2 + 3x(x+2) - 2x]
    now expand the square bracket, since I don't see any more common factors
    = (x+2)^2[5x^2 + 20x + 20 + 3x^2 + 6x - 2x]
    =(x+2)^2[8x^2 + 24x + 20]
    = 4(x+2)^2(2x^2 + 6x + 5)

  • math -

    I'm building a new fence around my yard. The length is 20 ft. The width is 18 ft long. How much will I need to enclose the entire space

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