Simplify this expression..
x^2-5x/5x-25
To simplify the expression (x^2 - 5x) / (5x - 25), follow these steps:
Step 1: Factorize the numerator and denominator, if possible.
- For the numerator (x^2 - 5x), you can factor out an x: x(x - 5).
- For the denominator (5x - 25), you can factor out a 5: 5(x - 5).
So, the expression becomes x(x - 5) / 5(x - 5).
Step 2: Simplify by canceling out any common factors.
Notice that (x - 5) appears in both the numerator and denominator, so it can be canceled out, leaving you with:
x / 5
Hence, the simplified expression is x / 5.