Answer:
The GCF in the expression is \(3x^2y\)
Step-by-step 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 \(3x^2y\)
