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Simplify the following expression: \( (2 x+1)(4 x-6) \)

Ask by Patel Wagner. in South Africa
Nov 11,2024

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\( 8x^{2}-8x-6 \)

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To simplify the expression \( (2x + 1)(4x - 6) \), we can use the distributive property (also known as the FOIL method for binomials). First, we multiply the first terms: \( 2x \times 4x = 8x^2 \). Next, we multiply the outer terms: \( 2x \times -6 = -12x \). Then, we multiply the inner terms: \( 1 \times 4x = 4x \). Finally, we multiply the last terms: \( 1 \times -6 = -6 \). Now, we combine all these results: \[ 8x^2 - 12x + 4x - 6 \] Combining like terms gives us: \[ 8x^2 - 8x - 6 \] So, the simplified expression is: \[ 8x^2 - 8x - 6 \]

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