Answer
B. $6x^{2}+7x-20$
Work Step by Step
We are given the expression $(2x+5)(3x-4)$. We can find the product of this expression using the FOIL method.
First terms: $2x\times 3x=6x^{2}$
Outer terms: $2x\times-4=-8x$
Inner terms: $5\times 3x=15x$
Last terms: $5\times-4=-20$
Adding together: $6x^{2}+(-8x)+15x+(-20)=6x^{2}-8x+15x-20=6x^{2}+7x-20$