Find the value of a and b if (x-1) and (x+1) are factors of x⁴+ax³-3x²+2x+b

If a-b=1 and a³-b³=61, then the value of ab will be 

If p=99, then the value of p(p²+3p+3) will be

If a\b + b\a =1, then the value of a³+b³ will be 

What will be the value of x³+y³+z³-3xyz when x+y+z=9 and x²+y²+z²=31?

If a+b=2c, find $${a\over a-c}+{c\over b-c}?$$

If a-6b = 3 then the value of a³-216b³-54ab is : 

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is