factor this expression completely
45x-18y+36
To factor the expression 45x - 18y + 36 completely, we need to look for common factors. Firstly, we can see that all the terms have a common factor of 9:
45x ÷ 9 = 5x
-18y ÷ 9 = -2y
36 ÷ 9 = 4
So, the expression can be factored as:
45x - 18y + 36 = 9(5x - 2y + 4)
To factor the expression 45x - 18y + 36, we need to look for common factors among the terms. In this case, the greatest common factor (GCF) of 45, 18, and 36 is 9.
Let's factor out the GCF first:
45x - 18y + 36 = 9(5x - 2y + 4)
Now, let's focus on the expression inside the parentheses, 5x - 2y + 4. This expression does not have any common factors among the terms, so we cannot factor it further.
Therefore, the completely factored form of 45x - 18y + 36 is 9(5x - 2y + 4).
To factor the expression 45x - 18y + 36 completely, we need to find the common factors of all the terms.
Step 1: Find the Greatest Common Factor (GCF) of the coefficients.
The GCF of 45, 18, and 36 is 9.
Step 2: Divide each term in the expression by the GCF.
(45x / 9) - (18y / 9) + (36 / 9)
This simplifies to:
5x - 2y + 4
Therefore, the factored form of the expression 45x - 18y + 36 is 5x - 2y + 4.