SOLUTION: If a^2 = a + 2, then a^3 equals (A) a + 4 (B) 2a + 8 (C) 3a + 2 (D) 4a + 8 (E) 27a + 8

Algebra ->  Equations -> SOLUTION: If a^2 = a + 2, then a^3 equals (A) a + 4 (B) 2a + 8 (C) 3a + 2 (D) 4a + 8 (E) 27a + 8       Log On


   

Question 976428: If a^2 = a + 2, then a^3 equals
(A) a + 4 (B) 2a + 8 (C) 3a + 2 (D) 4a + 8 (E) 27a + 8
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E3=a%5E2%2Aa
Subsitute a%5E2=a%2B2
a%5E3=%28a%2B2%29%2Aa
a%5E3=a%5E2%2B2a
Subsitute a%5E2=a%2B2
a%5E3=%28a%2B2%29%2B2a
a%5E3=3a%2B2
Answer: (C) 3a + 2