Question : If $a=\frac{b^{2}}{b–a}$, the value of $a^{3}+b^{3}$ is:

Option 1: $6ab$

Option 2: 0

Option 3: 1

Option 4: 2

Question : If $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$, then the value of $a^{3}+b^{3}$ is:

Option 1: 0

Option 2: –1

Option 3: 1

Option 4: 2

Question : If $x+\frac{1}{x}=0$, then the value of $x^{5}+\frac{1}{x^{5}}$ is:

Option 1: 2

Option 2:  –1

Option 3: 1

Option 4: 0

Question : If $\frac{a}{b}+\frac{b}{a}=2$, then the value of $(a-b)$ is:

Option 1: 1

Option 2: 2

Option 3:  –1

Option 4: 0

Question : If $a^3+b^3=9$ and $a+b=3$, then the value of $\frac{1}a+\frac{1}b$ is:

Option 1: $\frac{1}2$

Option 2: $\frac{3}2$

Option 3: $\frac{5}2$

Option 4:  $–1$

Question : If $\frac{x}{3}+\frac{3}{x}=1$, then the value of $x^3$ is:

Option 1: 1

Option 2: 27

Option 3: 0

Option 4: –27