Factor the expression completely. 45x - 18y + 36
To factor the expression completely, we can use the factoring method.
First, we can find the greatest common factor (GCF) of all the terms. The GCF of 45x, -18y, and 36 is 9.
Next, we divide each term by the GCF and rewrite the expression.
45x divided by 9 is 5x
-18y divided by 9 is -2y
36 divided by 9 is 4
The factored form of the expression completely is 9(5x - 2y + 4).
To factor the expression completely, we can look for common factors among the terms. In this case, the greatest common factor (GCF) of the coefficients is 9.
So, we can start by factoring out the GCF of 9 from each term:
45x - 18y + 36 = 9(5x - 2y + 4)
Now, let's see if there are any common factors among the variables.
The terms (5x - 2y + 4) don't have any common factors that can be factored out further. Therefore, the expression is completely factored as:
45x - 18y + 36 = 9(5x - 2y + 4)
To factor the expression 45x - 18y + 36 completely, we can begin by finding the greatest common factor (GCF) of the coefficients.
The GCF of 45, 18, and 36 is 9.
Next, we can rewrite the expression using the GCF:
45x - 18y + 36 = 9(5x - 2y + 4)
Thus, the completely factored form of the expression 45x - 18y + 36 is 9(5x - 2y + 4).