which is the complete factorization of this expression? 15x-3y
3(x-3y)
5(3x-y)
3(5x-y)
3(5x-3)
The complete factorization of the expression 15x-3y is 3(5x-y).
To determine the complete factorization of the expression 15x - 3y, we need to factor out the greatest common factor (GCF) from both terms.
Step 1: Find the GCF of 15x and 3y:
The GCF of 15x and 3y is 3 because it is the largest number that divides both 15 and 3.
Step 2: Divide each term by the GCF:
15x ÷ 3 = 5x
3y ÷ 3 = y
Step 3: Write the factored form using the GCF:
The factored form of the expression is 3(5x - y).
Therefore, the correct complete factorization of the expression 15x - 3y is 3(5x - y).
To factorize the expression 15x-3y, we need to look for the common factors between the two terms.
The common factor between 15x and -3y is 3. By factoring out 3 from both terms, we get:
3(5x - y)
So, the complete factorization of the expression 15x-3y is 3(5x - y).