Factor the expression completely. 45x−18y+36 (1 point) Responses 5(9x−2y+4)5 times open paren 9 x minus 2 y plus 4 close paren −9(5x+2y+4)negative 9 times open paren 5 x plus 2 y plus 4 close paren 9(5x−2y+4)9 times open paren 5 x minus 2 y plus 4 close paren 9y(5x−2y+4)9 y open paren 5 x minus 2 y plus 4 close paren
The correct factorization is:
5(9x - 2y + 4)
To factor the expression 45x - 18y + 36, you can start by finding the greatest common factor (GCF) of the coefficients, which is 9:
9 (5x - 2y + 4)
So the completely factored expression is 9(5x - 2y + 4).
To factor the expression completely, we need to look for common factors among the terms. The given expression is 45x - 18y + 36.
Step 1: Look for the greatest common factor (GCF) among the coefficients. In this case, the GCF among 45, 18, and 36 is 9.
Step 2: Divide each term by the GCF of the coefficients:
45x/9 = 5x
-18y/9 = -2y
36/9 = 4
Now we have: 5x - 2y + 4
Therefore, the factored form of the expression 45x - 18y + 36 is 9(5x - 2y + 4).