−1 over 2(−6x+3)
−3x−3
−3x+3 over 2
3x+3
3x−3 over 2
To simplify the expression −1/(2(−6x+3)), we need to distribute the 2 to both terms inside the parentheses first:
−1/(2 * -6x + 2 * 3)
−1/(-12x + 6)
Now, we can simplify further by factoring out a common factor of -1 in the denominator:
-1 / (-1 * 12x - 1 * -6)
-1 / (-12x + 6)
Since the denominator is just a constant, there are no more simplifications that can be done. Thus, the simplified expression is:
-1 / (-12x + 6)
So, none of the given options (-3x-3, -3x+3/2, 3x+3, 3x-3/2) match the simplified expression.
To simplify the expression −1 over 2(−6x+3), you can follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses.
The expression becomes -1 over -12x + 6.
Step 2: Simplify the expression by dividing both the numerator and denominator by the greatest common factor (GCF) of -1 and 1. Since the GCF is 1, the expression remains unchanged.
Therefore, the simplified form of −1 over 2(−6x+3) is -1 over -12x + 6.
Now let's simplify the other expressions:
For the expression −3x−3, there are no further simplifications possible. Hence, the simplified form is −3x−3.
For the expression −3x+3 over 2, it is already in its simplest form.
For the expression 3x+3, there are no further simplifications possible. Hence, the simplified form is 3x+3.
For the expression 3x−3 over 2, it is already in its simplest form.
I hope this helps!
To simplify the expression −1 over 2(−6x+3), we start by simplifying the expression inside the parenthesis.
Step 1: Distribute the 2 to the terms inside the parenthesis.
2(−6x+3) = −12x + 6
Now, we can rewrite the expression as:
−1 over (−12x + 6)
To simplify further, we need to multiply both the numerator and the denominator by −1. This will not change the value of the expression since multiplying both parts of a fraction by the same number is the same as multiplying by 1.
Step 2: Multiply both the numerator and denominator by −1.
(−1)(−1) over (−1)(−12x + 6)
This gives us:
1 over (12x - 6)
Therefore, the simplified expression is 1 over (12x - 6).
Alternatively, if we compare the original expression −1 over 2(−6x+3) with the options provided, we can see that the correct option is the one that matches the simplified expression: 1 over (12x - 6).