45x-18y+36
3 answers
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Factor this expression completely and show your steps
45x - 18y + 36
Options:
A. 9y(5x-2y+4)
B. -9(5x+2y+4)
C. 5(9x-2y+4)
D. 9(5x-2y+4)
45x - 18y + 36
Options:
A. 9y(5x-2y+4)
B. -9(5x+2y+4)
C. 5(9x-2y+4)
D. 9(5x-2y+4)
To factor the expression 45x - 18y + 36, we first look for common terms that can be factored out. In this case, the greatest common factor (GCF) of 45, 18, and 36 is 9.
So we can rewrite the expression as:
9(5x - 2y + 4)
Now we need to check if there are any further common factors in the terms inside the parentheses (5x - 2y + 4). There is no common factor among these terms that can be factored out.
Therefore, the factored form of the expression 45x - 18y + 36 is:
9(5x - 2y + 4)
Hence, the correct option is D. 9(5x-2y+4).
So we can rewrite the expression as:
9(5x - 2y + 4)
Now we need to check if there are any further common factors in the terms inside the parentheses (5x - 2y + 4). There is no common factor among these terms that can be factored out.
Therefore, the factored form of the expression 45x - 18y + 36 is:
9(5x - 2y + 4)
Hence, the correct option is D. 9(5x-2y+4).