Problem

Factorize the expression 15x3y2−10x2y−5xy by factoring out the Greatest Common Factor (GCF).

Answer

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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(3x2y−2x−1).

Steps

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 x1y1 in this case.

Step 2 ：Next, factor out the GCF from each term in the expression. This gives us 5xy(3x2y−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(3x2y−2x−1).

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