(2x² – 1)(4x² + 7) =

To solve the expression ((2x² – 1)(4x² + 7)), we will use the distributive property (also known as the FOIL method when dealing with binomials).

1. Multiply (2x²) by each term in the second polynomial:

– (2x² times 4x² = 8x^4)

– (2x² times 7 = 14x²)

2. Then, multiply (-1) by each term in the second polynomial:

– (-1 times 4x² = -4x²)

– (-1 times 7 = -7)

3. Now, combine all the results:

– (8x^4 + 14x² – 4x² – 7)

4. Combine like terms:

– (8x^4 + (14x² – 4x²) – 7 = 8x^4 + 10x² – 7)

The expression simplifies to (8x^4 + 10x² – 7), which unfortunately does not match any of the options provided A, B, C, or D directly.

However, I encourage you to double-check if there are any typos or alternative forms in the options listed. If you are looking for further assistance with similar expressions, feel free to check the extended services