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A. a² + 2ab +b =
6²+ 2 ( 6×-1) + (-1)² =
36 + 2(-6) + 1 =
36 -12 + 1 = 25
b. a²b – ab + a²b² =
( 6² × -1) -(6×-1) + (6²×-1²) =
( 36 ×-1) -(-6) + ( 36×1) =
-36 +6+36 = 6
c. 2a + 2a²b² + 3ab² +b³=
2×6 + 2(6²×-1²) + 3 ( 6×-1²) + (-1)³ =
12 + 2(36)+ 3(6)-1 =
12 + 72 + 18-1 = 101
d. a⁴ + 4a³b + 6a²b²+4ab³+b⁴=
6⁴ + (4 x 6³ x -1) + ( 6 x 6² x -1²) + (4 x 6 x -1³) + -1⁴ =
1296 – 864 + 216 -24 +1 = 625
e. 3a³-2b+ab =
3 x 6³-2 x -1+6 x -1 =
3 x 216 + 2 – 6 =
648 + 2 – 6 = 644
f. 2a³-3a²+ab-5 =
(2 x 6³) – (3×6²)+(6x-1) -5 =
432 – 108 -6 -5 = 313