What is the product of the rational expressions below? x-8/x+11*x+8/x-11

Answer:Problem: [tex]\frac{x-8}{x+11} \cdot \frac{x+8}{x-11}[/tex]Answer: [tex]\frac{x^2-64}{x^2-121}[/tex]Step-by-step explanation:[tex]\frac{x-8}{x+11} \cdot \frac{x+8}{x-11}[/tex]Writing as one fraction:[tex]\frac{(x-8)(x+8)}{(x+11)(x-11)}[/tex]Now before we continue, notice both of your bottom and top are in the form of (a-b)(a+b) or (a+b)(a-b) which is the same format.That is, we are multiplying conjugates on top and bottom.When multiplying conjugates, all you have to do it first and last.For example:[tex](a-b)(a+b)=a^2-b^2[/tex].So your problem becomes this after the multiplication of conjugates:[tex]\frac{x^2-64}{x^2-121}[/tex]