Factor the expression completely.
45x−18y+36 (1 point)
Responses
5(9x−2y+4)
−9(5x+2y+4)
9(5x−2y+4)
9y(5x−2y+4)
The correct answer is:
9(5x - 2y + 4)
To factor the expression 45x - 18y + 36 completely, we can start by finding the greatest common factor (GCF) of the coefficients. The GCF of 45, 18, and 36 is 9.
Next, we divide each term by the GCF and rewrite the expression:
(45x/9) - (18y/9) + (36/9)
This simplifies to:
5x - 2y + 4
Therefore, the expression 45x - 18y + 36 can be factored completely as 9(5x - 2y + 4).
To factor the expression completely, we need to find the greatest common factor (GCF) of the coefficients and variables in the expression.
Looking at the coefficients 45, 18, and 36, we can see that the GCF is 9. To find the GCF of the variables, we look at the variables x and y. There are no common variables, so the GCF of the variables is 1.
Now, we can factor out the GCF from the expression.
Factoring out the GCF 9 from the expression 45x−18y+36, we get:
9(5x - 2y + 4)
Therefore, the completely factored expression is 9(5x - 2y + 4).