Solve the following quadratic equations by factorization method: `4x^2-2(a^2+b^2)x+a^2b^2=0`

Explanation

To solve the quadratic equation \(4x^2 - 2(a^2 + b^2)x + a^2b^2 = 0\) using the factorization method, we will follow these steps:

### Step 1: Rewrite the equation
The given equation is:
\[ 4x^2 - 2(a^2 + b^2)x + a^2b^2 = 0 \]
We can express the middle term \(-2(a^2 + b^2)x\) as \(-2a^2x - 2b^2x\):
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