To find the value of a*b, we can use the given equation A^3 + B^3 = A + B = 3.
Since A + B = 3, we can rewrite this as A = 3 - B.
Substitute this into the equation A^3 + B^3 = 3:
(3 - B)^3 + B^3 = 3
Expanding the left side:
(27 - 27B + 9B^2 - B^3) + B^3 = 327 - 27B + 9B^2 = 39 - 9B + 3B^2 = 1
Now we have a new equation relating A and B:
A * B = 1
Therefore, the value of a*b is 1.
To find the value of a*b, we can use the given equation A^3 + B^3 = A + B = 3.
Since A + B = 3, we can rewrite this as A = 3 - B.
Substitute this into the equation A^3 + B^3 = 3:
(3 - B)^3 + B^3 = 3
Expanding the left side:
(27 - 27B + 9B^2 - B^3) + B^3 = 3
27 - 27B + 9B^2 = 3
9 - 9B + 3B^2 = 1
Now we have a new equation relating A and B:
A * B = 1
Therefore, the value of a*b is 1.