divide
3z-18z z-6
10 55z
To simplify the expression (3z-18z)/(10z-55), we can follow these steps:
Step 1: Factor out the common factor from both terms in the numerator and denominator.
In the numerator, we have (3z-18z). Here, the common factor is "z," so we can write it as:
(3z - 18z) = z(3 - 18)
Similarly, in the denominator, the common factor is "(5z - 55)." So, we can write it as:
(10z - 55) = 5(2z - 11)
Now our expression becomes:
z(3 - 18) / 5(2z - 11)
Step 2: Simplify the coefficients and variables in the parentheses.
The expression in the parentheses (3 - 18) can be simplified to -15.
So, our expression becomes:
z(-15) / 5(2z - 11)
Step 3: Cancel out any common factors.
We can cancel out the factors of 5 between the numerator and the denominator. This simplifies the expression further:
(-15z) / (2z - 11)
Now, we have our final simplified expression:
(-15z) / (2z - 11)
That's how you divide the expression (3z-18z)/(10z-55) and simplify it to (-15z) / (2z - 11).