Question

36. if a/b + b/a = -1, then prove that a^3 - b^3 =0

2 points

Your answer

36. if a/b + b/a = -1, then prove that a^3 - b^3 =0
2 points
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Answer 1

Answer:

a³ - b³ = 0

Step-by-step explanation:

a/b+b/a= -1

=> (a²+b²)/ab= -1

=> a²+b²= - ab

=> a²+ab+b²= 0

so a³ - b³= (a - b) ( a²+ ab+ b²)

= (a - b) × 0 = 0