Pre Cal

simplify the quotient: [(x+1)^3(4x-9)-(16x+9)(x+1)^2]/[(x-6)(x+1)^3]

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  1. = (x+1)^2[(x+1)(4x-9) - (16x+9)]/[(x-6)(x+1)^2]
    expand the square bracket and factor the result...
    = (x+1)^(4x+3)(x-6)/(x-6)(x+1)^2]
    = (4x+3)/(x+1) , x ≠ -1, 6

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