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x3−2x2+4x(x+2)2x^3-2x^2+\frac{4}{x(x+2)^2}

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Full solution

Q. x3−2x2+4x(x+2)2x^3-2x^2+\frac{4}{x(x+2)^2}
  1. Identify common factors: Identify common factors in the numerator. x3−2x2x^3 - 2x^2 can be factored as x2(x−2)x^2(x - 2).
  2. Factor completely: Factor the expression completely.\newlineThe expression becomes x2(x−2)+4x(x+2)2x^2(x - 2) + \frac{4}{x(x + 2)^2}.

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