Rewrite as equivalent rational expressions with denominator (5u+5)(u−9)(u+5) :95u2−40u−45,2u5u2+30u+25

To rewrite the given expressions with the denominator (5u+5)(u−9)(u+5), we first need to factorize the denominators of the given expressions.

1. For the first expression, 95u^2 - 40u - 45:

Factorize the quadratic equation to get (5u - 5)(19u + 9).

So, the equivalent rational expression with the denominator (5u+5)(u−9)(u+5) is (5u - 5)(19u + 9) / (5u+5)(u−9)(u+5).

2. For the second expression, 2u / (5u^2 + 30u + 25):

Factorize the quadratic equation in the denominator to get 2u / (5u + 5)^2.

So, the equivalent rational expression with the denominator (5u+5)(u−9)(u+5) is 2u / (5u+5)(u−9)(u+5).

Note: The expressions are only equivalent if the original denominators are factors of the new denominator (5u+5)(u−9)(u+5).