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Find the product. Simplify your answer. \( 4\left(-3 g^{2}+4 g+3\right) \)

Ask by Coles Matthews. in the United States
Feb 11,2025

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Answer

The product is -12g² + 16g + 12.

Solution

To find the product, distribute 4 to each term inside the parentheses: 1. Multiply 4 by -3g²: 4 × (-3g²) = -12g² 2. Multiply 4 by 4g: 4 × 4g = 16g 3. Multiply 4 by 3: 4 × 3 = 12 Combine these results to get the simplified expression: -12g² + 16g + 12

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To find the product \( 4\left(-3 g^{2}+4 g+3\right) \), you can distribute the 4 to each term inside the parentheses. First, multiply \( 4 \) by \( -3 g^{2} \): \( 4 \times -3 g^{2} = -12 g^{2} \). Next, multiply \( 4 \) by \( 4 g \): \( 4 \times 4 g = 16 g \). Finally, multiply \( 4 \) by \( 3 \): \( 4 \times 3 = 12 \). Now, combine all the results: \( -12 g^{2} + 16 g + 12 \). So, the simplified product is: \(-12 g^{2} + 16 g + 12\).

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