If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?

If $$ {x+{1\over x}=7}$$ then $$ {x^{2}+{1\over {x^{2}}}=?}$$

 If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is : 

If a ≠ b, then which of the following statement is true ?

If p³ – q³ = (p-q)[(p-q)²+xpq)] then the value of x is

If  $$n+{2\over 3}n+{1\over2}n+{1\over7}n=97$$ then the value of n is : 

If $$x+{1\over x}=c{1\over c}$$ then the value of x

A complete factorization of x⁴+64 is