5x+10y +15z-15x+10y-5z+5x-10y-5z / (5x+10y+15z)-(15x+10y-5z)+(5x-10y-5z)
a. 1/3
b. 1
c. x+2y+z / x-2y+3z
d. x-2y-z / x+2y-3z
e. x-2y-z / x+2y+z
my answer is none of above,
is - 1/3,
I didn't know I done it wrong or the question is not correct
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To simplify the given expression, let's break it down step by step:
1. Start with the numerator: 5x + 10y + 15z - 15x + 10y - 5z + 5x - 10y - 5z.
You can simplify this by combining like terms:
(5x - 15x + 5x) + (10y + 10y - 10y) + (15z - 5z - 5z).
Simplifying each group of terms within parentheses, we get:
-5x + 10y - 5z.
2. Now let's simplify the denominator: (5x + 10y + 15z) - (15x + 10y - 5z) + (5x - 10y - 5z).
Again, combining like terms within each group of parentheses:
(5x - 15x + 5x) + (10y + 10y - 10y) + (15z - 5z + 5z).
Simplifying each group of terms, we have:
-5x + 10y + 15z.
3. The simplified expression becomes (-5x + 10y - 5z) / (-5x + 10y + 15z).
Now, let's analyze the options provided:
a. 1/3: This option does not match the simplified expression.
b. 1: This option does not match the simplified expression.
c. x + 2y + z / x - 2y + 3z: This option does not match the simplified expression.
d. x - 2y - z / x + 2y - 3z: This option does not match the simplified expression.
e. x - 2y - z / x + 2y + z: This option matches the simplified expression.
Therefore, the correct answer would be option e. x - 2y - z / x + 2y + z.
5x+10y +15z-15x+10y-5z+5x-10y-5z
= -5x+10y+5z
= -5(x-2y-z)
(5x+10y+15z)-(15x+10y-5z)+(5x-10y-5z)
= -5(x+2y-3z)
Looks like (d) to me