x^2+4x+4/x+2÷(x^2+2x)
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x^2+4x+4/x+2÷(x^2+2x)x^2+4x+4/x+2÷(x^2+2x)x^2+4x+4/x+2÷(x^2+2x)(x^2+4x+4)/(x+2)÷(x^2+2x)=(x+2)^2/(x+
x^2+4x+4/x+2÷(x^2+2x)
x^2+4x+4/x+2÷(x^2+2x)
x^2+4x+4/x+2÷(x^2+2x)
(x^2+4x+4)/(x+2) ÷ (x^2+2x)
= (x+2)^2/(x+2) ÷ x(x+2)
=1 ÷ x
=1/x
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