Operations of Functions

Given:  $$f\left(x\right)=x^2-25$$  ;  $$g\left(x\right)=x-5$$  

Find:  $$f\left(x\right)+g\left(x\right)=$$  

Given: $$f\left(x\right)=x^2+3x-28$$  ; $$g\left(x\right)=x^2-4x-4$$  

Find: $$g\left(x\right)-f\left(x\right)=$$  

Multiply:  $$-5x\left(x^3-2x^2-3x+1\right)$$  

Divide: $$\frac{18x^2-24x+6}{3x-3}$$  

Given:  $$f\left(x\right)=x^2-3x+2$$  and  $$g\left(x\right)=x-1$$  

Find:  $$f\left(x\right)\cdot g\left(x\right)=$$  

Given: $$f\left(x\right)=x^2-3x+2$$  and  $$g\left(x\right)=x-1$$  

Find  $$\frac{f\left(x\right)}{g\left(x\right)}$$