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Factor 9x^2-4y^2 A) (3x-2y)^2 B) (3x-2)(3x+2) C) None of These. D) (3x-2y)(3x+2y)

Question

Factor 9x^2-4y^2 a) (3x-2y)^2 b) (3x-2)(3x+2) c) None of these. d) (3x-2y)(3x+2y)

Solution

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Answer

### d)

Explanation

## Step 1: Identifying the pattern### The given expression is a difference of two squares, since and .## Step 2: Applying the difference of squares formula### The difference of squares formula states that . In our case, and . Therefore, .## Step 3: Verifying the factorization### We can verify the factorization by expanding the result: .