If a + a²+a³-1=0, then what is the value of a³ +(1/a)?

If x = b+c -2a, y=c+a-2b, z=a+b-2c, then the value of x²+y²-z²+2xy is : 

If bc+ab+ca=abc, then the value of $$ {b+c\over {bc(a-1)}}+{a-c\over {ac(b-1)}}+{a+b\over {ab(c-1)}}$$ is

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

If then the value of

If x, y are two positive real number and  $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?

If average of two x and $$1\over x$$ (where x ≠ 0) is A, what will be the average of x³ and $$1\over {x^3}$$?

Given k = -3. Find the value of $$ {k^3+3k}$$.