This is a mix of questions

[mcadm313]

I am new at this so bear with me i am still trying to figure out how all this works i need help with about these three i have more

 

[Deleted member 4993]

Please share with us your work, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[Denis]

Can you do: 3/5 + 4/7 = ?

 

[BigGlenntheHeavy]

$\displaystyle Factor, \ factor, \ factor.$

$\displaystyle I'll \ do \ the \ first \ one \ for \ you \ to \ get \ you \ started.$

$\displaystyle \frac{\frac{x^2-x-2}{x^2-2x-3}}{\frac{x^2+8x+12}{x^2-3x-10}} \ = \ \frac{\frac{(x-2)(x+1)}{(x-3)(x+1)}}{\frac{(x+2)(x+6)}{(x-5)(x+2)}} \ = \ \frac{\frac{x-2}{x-3}}{\frac{x+6}{x-5}} \ = \ \frac{(x-2)(x-5)}{(x-3)(x+6)}, \ x \ \ne \ -1. -2,-6,3, \ or \ 5 \ why?$