Question

Factor the GCF: 9x4y − 6x3y2 + 3x2y3.

Answer 1

`3x^(2) y(3x^(2) - 2xy + y^(2) )`)

Explanation:

Answer 2

The GCF in the expression is
`3x^2y`

Explanation:

Given : Expression
`9x^4y - 6x^3y^2 + 3x^2y^3`

To find : The factor the GCF?

Solution :

The GCF is the greatest common factor.

Step 1 - Write the expression

`9x^4y - 6x^3y^2 + 3x^2y^3`

Step 2 - First take a number common

As 9,6,3 is the multiple of 3 so 3 is common

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

Step 3 -Take
`x^2` common

`=3x^2(3x^2y - 2xy^2 +y^3)`

Step 4 -Take
`y` common

`=3x^2y(3x^2 - 2xy +y^2)`

So, The GCF in the expression is
`3x^2y`