Evaluate :

`( x^(1/4 ) + y^(1/4 ) ) ( x^(1/4 ) - y^(1/4 ) ) ( x^(1/2 ) + y^(1/2 ) ) ( x^2 + xy + y^2 )` is equal to
( A ) `x^3 - y^3`
( B ) `x^3 + y^3`
( C ) `x^2 - y^2`
( D ) `x^4 + y^4`

Evaluate : (x^(1//3)+y^(1//3))(x^(2//3)-x^(1//3)y^(1//3)+y^(2//3)) , when x=4(5)/(7) " and " y=5(2)/(7) .

If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy

If y = 1 - x +(x^(2))/(2!) - (x^(3))/(3!) + (x^(4))/(4!) - ..., " then" (d^(2) y)/(dx^(2)) is equal to

If x=2,y=1 then x^(4)+2x^(3)y-2xy^(3)-y^(4) is equal to

If x/2 + y/3 = 4 and 2/x + 3/y = 1, then what is x + y equal to ?

Find the value of ( (x^-2 times y^-4 )/ ( x^-3 times y^-1) ÷ y^-2/x^-1 )

If x = (2)/(3) and y = (3)/(4), then a rational number (x – y) ^(-1) + (x ^(-1) – y ^(-1)) is equal to

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}