Multiply the rational expressions.2x2−2x−12x+5⋅x2−252x2+4x2𝑥2−2𝑥−12𝑥+5⋅𝑥2−252𝑥2+4𝑥Select one:a. (2x+4)(x−3)x+4(2𝑥+4)(𝑥−3)𝑥+4b. (x−3)(x+5)2x2+5x(𝑥−3)(𝑥+5)2𝑥2+5𝑥c. (x−3)(x−5)x(𝑥−3)(𝑥−5)𝑥d. (x−3)(x−5)2x(x+5)

The question seems to be a bit jumbled, but I'll try to interpret it as best as I can.

It seems like you're asking to multiply two rational expressions. However, the expressions are not clearly defined.

If the expressions are (2x^2 - 2x - 12)/(x + 5) and (x^2 - 25)/(2x^2 + 4x), then here are the steps to solve it:

1. Factorize the expressions:

   The first expression becomes [(2x - 6)(x + 2)]/(x + 5)

   The second expression becomes [(x - 5)(x + 5)]/(2x(x + 2))

2. Multiply the expressions:

   [(2x - 6)(x + 2)]/(x + 5) * [(x - 5)(x + 5)]/(2x(x + 2))

3. Cancel out the common factors:

   (x - 5)/(x + 5)

So, the answer is (x - 5)/(x + 5). However, this option is not available in the choices you provided. Please check the question and the choices again.