Question

BEST ANSWER GETS 50 POINTS!!!

Write the expression below in its most simplified, factored form.


12x^2 y - 32xy + 8y

Answer 1

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

Answer 2

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

Explanation:

Given : Expression
`12x^2 y - 32xy + 8y`

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

Consider the given expression
`12x^2 y - 32xy + 8y`

Taking 4y common from each term , we have,

`4y(3x^2-8x+2)`

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

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