(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: \[ 12x^2 - 53x + 56 \]