Answer: 6x^2 - 17x + 12.
Explanation:
To multiply these two binomials, we can use the FOIL method, which stands for First, Outer, Inner, Last. This gives us:
(2x - 3)(3x - 4) = (2x)(3x) + (2x)(-4) + (-3)(3x) + (-3)(-4)
Simplifying each term, we get:
(6x^2) + (-8x) + (-9x) + 12
Combining like terms, we can simplify this to:
6x^2 - 17x + 12
Therefore, (2x-3)(3x-4) can be expressed as the trinomial 6x^2 - 17x + 12.