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Simplify: x+2/x2-6x-16 ÷ 1/9x

1 Answer

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(x+2)/(x^2-6x-16):(1)/(9x)=(x+2)/(x^2-8x+2x-16)\cdot9x=(x+2)/(x(x-8)+2(x-8))\cdot9x\\\\=(x+2)/((x-8)(x+2))\cdot9x=(1)/(x-8)\cdot9x=(9x)/(x-8)
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