TraevionB292704 TraevionB292704
  • 28-10-2022
  • Mathematics
contestada

Simplify (2x-1)(4xy+3y^2-2y)

Respuesta :

JrueV674886 JrueV674886
  • 28-10-2022

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]

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