To rewrite the expression \((3x - 5)(2x + 2)\) using the Distributive Property, you need to distribute each term in the first parentheses by each term in the second parentheses.
Here’s the step-by-step breakdown:
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Distribute \(3x\) to both terms in the second parentheses: \[ 3x \cdot 2x = 6x^2 \] \[ 3x \cdot 2 = 6x \]
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Distribute \(-5\) to both terms in the second parentheses: \[ -5 \cdot 2x = -10x \] \[ -5 \cdot 2 = -10 \]
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Now combine all the results together: \[ 6x^2 + 6x - 10x - 10 \]
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Combine like terms (\(6x - 10x\)): \[ 6x^2 - 4x - 10 \]
Thus, the expression \((3x - 5)(2x + 2)\) when rewritten using the Distributive Property is: \[ 6x^2 - 4x - 10 \]