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Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following quadratic equation by factorization.
$(a + b)^{2} x^{2} - 4 a b x (a - b)^{2} = 0$

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Solution

$(a + b)^{2} x^{2} - 4 a b x (a - b)^{2} = 0$

$x (a + b)^{2} x - 4 a b (a - b)^{2}) = 0$

$x = 0, \frac{4 a b (a - b)^{2})}{(a + b)^{2}}$

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