If `a ,b , in R` such that `a+b=1a n d(1-2ab)(a^3+b^3)=12` . The value of `(a^2+b^2)` is equal to____.

If a-b=5 and ab=12, find the value of a^(3)+b^(2)

If A and B are square matrices of order 3 such that "AA"^(T)=3B and 2AB^(-1)=3A^(-1)B , then the value of (|B|^(2))/(16) is equal to

If a+b=1 , then a^(4)+b^(4)-a^(3)-b^(3)-2a^(2)b^(2)+ab is equal to :

If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to