how do you factor (x-3)^2-3(x-3)-28?

im having a hard time with this one

Comments

  • (x - 3)^2 - 3(x - 3) - 28

    = (x - 3)^2 - 7(x - 3) + 4(x - 3) - 28

    = (x - 3)(x - 3 - 7) + 4(x - 3 - 7)

    = (x - 3 - 7)(x - 3 + 4)

    = (x - 10)(x + 1)

  • Expand

    (x-3)^2

    =x^2-6x+9-3x+9-28

    =x^2-9x-10

    =(x+1)(x-10)

  • z = (x-3)

    z^2-3z-28 = 0

    (z-7)(z+4) = 0

    (x-10)(x+1)

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