simplify a(a2 + a + 1) + 5 and find its values for (i) a = 0, (ii) a = 0, and (iii) a = -1.
a(a2 + a + 1) + 5 = a x a2 + a x a + a x 1 + 5
= a3 + a2 + a + 5
(i) For a = 0, a3 + a2 + a + 5 = (0)3 + (0)2 + (a) + 5
= 0 + 0 + 0 + 5 = 5
(ii) For a = 1, a3 + a2 + a + 5 = (1)3 + (1)2 + (1) + 5
= 1 + 1 + 1 + 5 = 8
(iii) For a = 1-, a3 + a2 + a + 5 = (-1)3 + (-1)2 + (1) + 5
= -1 + 1 - 1 + 5 = 4