Which is the complete factorization of this expression? 15x−3y
The complete factorization of the expression 15x - 3y can be written as:
3(5x - y)
To factorize the expression 15x - 3y completely, we need to find any common factors between the terms.
First, let's see if there are any common factors between the coefficients (numbers) in front of the variables. The greatest common factor (GCF) of 15 and 3 is 3.
Next, let's look at the variables. The terms contain the variables x and y, but there are no common factors between them.
Now, we can factor out the GCF of 3 from the expression:
3(5x - y)
So, the complete factorization of the expression 15x - 3y is 3(5x - y).
To factorize the expression 15x - 3y, we need to find the greatest common factor (GCF) of the terms 15x and 3y.
The GCF of 15x and 3y is 3. This means that 3 is a common factor that can be factored out from both terms.
To factor out the GCF, divide each term by 3.
15x divided by 3 is 5x, and 3y divided by 3 is y.
So, the complete factorization of the expression 15x - 3y is 3(5x - y).