If a+b+c=2 , ab+bc+ac= -1 and abc = -2 , then find the value of a^3 + b^3 + c^3

 8

Step-by-step explanation:

EQ1:   a + b + c = 2            -->       b + c = 2 - a

EQ2:  ab + bc + ac = -1     -->        b + c = (-1 - bc)/a

EQ3:  abc = -2                  -->           bc = -2/a

Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":

Consider the solution a = 2 and plug it into EQ1 to solve for "b"

b + c = 2 - 2

b + c = 0

b = -c

Plug in a = 2, b = -c, and c = c into a³ + b³ + c³

  2³ + (-c)³ + c³

= 8 - c³ + c³

= 8

mx+89b(-98)nb

step-by-step explanation: