Question : If $a - b = 2$ and $a^3 - b^3 = 80$, then what will be the value of $ab$?

Option 1: 12

Option 2: –24

Option 3: 24

Option 4: –12

Question : If $9x^2+16y^2=60$ and $3x+4y=6$, then the value of $xy$ is:

Option 1: –1

Option 2: 1

Option 3: –2

Option 4: 2

Question : If $a+b=1$, find the value of $a^{3}+b^{3} - ab-(a^{2}-b^{2})^{2}$.

Option 1: –1

Option 2: 1

Option 3: 0

Option 4: 2

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

Option 1: 1

Option 2: 0

Option 3: –1

Option 4: 2

Question : If $\text{a}= {\sqrt{2}+1}$ and $\text{b} = {\sqrt{2}–1}$, then the value of $\frac{1}{a+1}+\frac{1}{b+1}$ will be:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: –1