Explanation
We are asked to simplify
[tex]\left(2x-1\right)\left(4xy+3y^2-2y\right)[/tex]To do so, we will make use of FOIL
F=first
O=outter
I=inner
L=last
In our case we have two inners, so we will have
[tex]2x\times\:4xy+2x\times\:3y^2+2x\left(-2y\right)-1\times\:4xy-1\times\:3y^2-1\times\left(-2y\right)[/tex]Thus
we will have the answer as:
[tex]8x^2y+6xy^2-8xy-3y^2+2y[/tex]
