Factor the expression completely.45x−18y+36 (1 point)
The expression can be factored completely as:
9(5x - 2y + 4)
To factor the expression 45x - 18y + 36 completely, you can start by finding the greatest common factor (GCF) of the three terms.
The GCF of 45x, -18y, and 36 is 9.
Dividing each term by 9, we get:
45x ÷ 9 = 5x
-18y ÷ 9 = -2y
36 ÷ 9 = 4
Therefore, the factored form of the expression 45x - 18y + 36 is:
9(5x - 2y + 4)
To factor the expression completely, we need to look for common factors among the terms. In this case, the numbers 45, 18, and 36 have a common factor of 9. Additionally, the variables x and y do not have common factors with any of the coefficients.
Step 1: Factor out the common factor:
9(5x - 2y + 4)
Now, we have factored out the common factor 9 from each term.
Step 2: Check if there are any common factors among the remaining terms:
In this case, there are no further common factors among the remaining terms.
Therefore, the expression is completely factored as 9(5x - 2y + 4).