Factorize the expression \(15x^3y^2 - 10x^2y - 5xy\) by factoring out the Greatest Common Factor (GCF).
Answer
Finally, simplify the expression inside the parentheses, if possible. Since no further simplification is possible here, the factored form of the expression is \(5xy(3x^2y - 2x - 1)\).
Step 1 ：First, find the GCF of the coefficients and the variables separately. The GCF of the coefficients (15, 10, and 5) is 5. The GCF of the variables is the smallest power of each variable common to all terms, which is \(x^1y^1\) in this case.
Step 2 ：Next, factor out the GCF from each term in the expression. This gives us \(5xy(3x^2y - 2x - 1)\).
Step 3 ：Finally, simplify the expression inside the parentheses, if possible. Since no further simplification is possible here, the factored form of the expression is \(5xy(3x^2y - 2x - 1)\).
