Simplify:

To simplify, we will proceed as follows:

(2x2 + 3x − 5)(3x2 − 5x + 4)

$=2 x^{2}\left(3 x^{2}-5 x+4\right)+3 x\left(3 x^{2}-5 x+4\right)-5\left(3 x^{2}-5 x+4\right) \quad$ (Distributive law)

$=6 x^{4}-10 x^{3}+8 x^{2}+9 x^{3}-15 x^{2}+12 x-15 x^{2}+25 x-20$

$=6 x^{4}-10 x^{3}+9 x^{3}+8 x^{2}-15 x^{2}-15 x^{2}+12 x+25 x-20 \quad$ (Rearranging)

$=6 x^{4}-x^{3}-22 x^{2}+36 x-20$         (Combining like terms)

Thus, the answer is $6 x^{4}-x^{3}-22 x^{2}+36 x-20$.