Fill in the blanks:
If (2a+b,a-b) = (8,3), then `a^2 + b^2` is equal to _______

Fill in the blanks : If A = [(1,a,3),(2,b,6),(3,c,9)] , then det A is equal to……….

Fill in the blanks. If y=x^(3) then y^(2) is equal to ______.

Fill in the blank: Let * be a binary operation defined on Z as a * b = a^2 - b^2 , then (-2)*(3*0) is equal to _______

Fill in the blank: (x+b)(x+c)=x^2 + .....+bc.

Fill in the blanks: the Identity elements of a*b = a+b-4 , for a b in z is __________.

Fill in the blanks: tan^-1 1 + sin^-1 (-sqrt3/2) + cos^-1 (-sqrt3/2) is equal to ………..

If a binary operation is defined by a * b = a^b then 2 * 2 is equal to :

Fill in the blank a (b-x) + b ( c -a) + c (a -b) = _____________

If A=[(5a,-b),(3,2)] and A adj A=A A^(T) , then 5a+b is equal to