how do i solve a perfect square trinomial which the GCF has a variable?

Question

how do I solve by factoring 3x^3y^2-3x^2y^2+3xy^ after factoring out the GCF? Please Help me I am having trouble doing this problem. Factoring completely. GCF has a variable andFurther Factors to Perfect Square Trinomial?

Answer 1

3x³y² - 3x²y² + 3xy²

3xy²(x² - x + 1)

 

Note: Solve is a direction to determine the value of the variable that make the equation true. You want to, as you say, factor completely.