How do you multiply (3x-5)(4x 7)?

To multiply the expression (3x - 5)(4x + 7), use the distributive property (also known as the FOIL method for binomials). Multiply each term in the first binomial by each term in the second binomial:

1. (3x \cdot 4x = 12x^2)
2. (3x \cdot 7 = 21x)
3. (-5 \cdot 4x = -20x)
4. (-5 \cdot 7 = -35)

Now, combine the like terms: (12x^2 + (21x - 20x) - 35 = 12x^2 + x - 35).