Respuesta :

s1m1
12x²y-32xy+8y=
4·3x²y-4·8xy+4·2y=
4y(3x²-8x+2)

Answer:

[tex]4y(3x^2-8x+2)[/tex] is the most simplified factored form of the given expression [tex]12x^2y - 32xy + 8y[/tex]

Step-by-step explanation:

Given :  Expression [tex]12x^2 y - 32xy + 8y[/tex]

We have to find the most simplified factored form of the given expression [tex]12x^2y - 32xy + 8y[/tex]

 

Consider the given expression [tex]12x^2 y - 32xy + 8y[/tex]

Taking 4y common from each term , we have,

[tex]4y(3x^2-8x+2)[/tex]

Now since [tex]3x^2-8x+2[/tex] can not be simplified further using any factored form technique.

So, [tex]4y(3x^2-8x+2)[/tex] is the most simplified factored form of the given expression [tex]12x^2y - 32xy + 8y[/tex]