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Score: 0 of 1 point Multiply and simplify completely: \( (3 x-2)(3 x-3)= \) Enter your answer Submit answer Attempts: \( 0 / 5 \)

Ask by Lynch Huff. in the United States
Mar 11,2025

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\(9x^2 - 15x + 6\)

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The Deep Dive

To multiply and simplify \((3x - 2)(3x - 3)\), you can use the distributive property (also known as the FOIL method). 1. Multiply the first terms: \(3x \cdot 3x = 9x^2\). 2. Multiply the outer terms: \(3x \cdot -3 = -9x\). 3. Multiply the inner terms: \(-2 \cdot 3x = -6x\). 4. Multiply the last terms: \(-2 \cdot -3 = 6\). Now, combine all these results: \[ 9x^2 - 9x - 6x + 6 = 9x^2 - 15x + 6. \] So, the simplified expression is \(9x^2 - 15x + 6\).

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