(4x-7)(3x-8)

To expand the expression \((4x - 7)(3x - 8)\), you can use the distributive property (also known as the FOIL method for binomials). Here's how the calculation works: 1. **First**: Multiply the first terms: \[ 4x \cdot 3x = 12x^2 \] 2. **Outer**: Multiply the outer terms: \[ 4x \cdot (-8) = -32x \] 3. **Inner**: Multiply the inner terms: \[ -7 \cdot 3x = -21x \] 4. **Last**: Multiply the last terms: \[ -7 \cdot (-8) = 56 \] Now, combine all these results: \[ 12x^2 - 32x - 21x + 56 \] Combine the like terms \(-32x\) and \(-21x\): \[ 12x^2 - 53x + 56 \] Thus, the expanded form of \((4x - 7)(3x - 8)\) is: \[ 12x^2 - 53x + 56 \]