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If abx^(2)=(a-b)^(2)(x+1), then find the...

If `abx^(2)=(a-b)^(2)(x+1)`, then find the value of `1+(4)/(x)+(4)/(x^(2))` in terms of a and b.

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To solve the equation \( abx^2 = (a-b)^2(x+1) \) and find the value of \( 1 + \frac{4}{x} + \frac{4}{x^2} \) in terms of \( a \) and \( b \), we can follow these steps: ### Step 1: Rearranging the given equation We start with the equation: \[ abx^2 = (a-b)^2(x+1) \] We can rewrite this as: ...
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