Simplify x / 6x - x^2
Please show me how you did it so i can understand!
Another one, Simplify x^2 - 3x - 18 / x + 3
This is a fraction
Another one, k + 3 / 4k - 2 (this is a fraction) * 12k^2 + 2k - 4)
To simplify the expression x / (6x - x^2), we can factor out an x from the denominator and rewrite it as:
x / (x(6 - x))
Now, we can cancel out the x term in the numerator and denominator:
1 / (6 - x)
Therefore, x / (6x - x^2) simplifies to 1 / (6 - x).
To simplify the expression x / 6x - x^2, we can follow these steps:
Step 1: Factor out the greatest common factor (GCF) from the numerator.
In this case, the GCF of x / 6x - x^2 is x. So we can rewrite the expression as:
x * (1 / 6 - x)
Step 2: Simplify the expression inside the parentheses.
To simplify the expression 1 / 6 - x, we need to find a common denominator. The common denominator for 1 / 6 and x is 6. So we can rewrite the expression as:
(1 - 6x) / 6
Step 3: Put the simplified expression back together.
Now that we have simplified both parts of the expression, we can put them back together. Our simplified expression is:
x * (1 - 6x) / 6
So the simplified form of x / 6x - x^2 is x * (1 - 6x) / 6.