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The product is \( 10x^{2} + 28x - 6 \).
Solución
To multiply 2(x + 3)(5x - 1), follow these steps:
1. First, expand the product (x + 3)(5x - 1) using the distributive property:
• x * 5x = 5x²
• x * (-1) = -x
• 3 * 5x = 15x
• 3 * (-1) = -3
2. Combine like terms:
5x² + (-x + 15x) - 3 = 5x² + 14x - 3
3. Finally, multiply the result by 2:
2(5x² + 14x - 3) = 10x² + 28x - 6
So, the product is 10x² + 28x - 6.
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
First, let’s expand the expression \(2(x+3)(5x-1)\) by distributing. Start by multiplying \( (x+3) \) with \( (5x-1) \): \[ (x+3)(5x-1) = x \cdot 5x + x \cdot (-1) + 3 \cdot 5x + 3 \cdot (-1) = 5x^2 - x + 15x - 3 = 5x^2 + 14x - 3. \] Now, multiply the result by 2: \[ 2(5x^2 + 14x - 3) = 10x^2 + 28x - 6. \] So, the final result is: \[ \boxed{10x^2 + 28x - 6}. \]
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