Simplify the following rational expression:5p2−25p−707p2−50p+7

The given expression is:

5p^2 - 25p - 70 / 7p^2 - 50p + 7

Step 1: Factor the numerator and the denominator.

The numerator factors to: 5(p - 7)(p + 2) The denominator factors to: 7(p - 1)(p - 7)

So the expression becomes: 5(p - 7)(p + 2) / 7(p - 1)(p - 7)

Step 2: Cancel out the common factors.

The (p - 7) in the numerator and denominator cancel out.

So the simplified expression is: 5(p + 2) / 7(p - 1)