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 and ab = 6, then what is the value of (a³ – b³)?

Option 1: 21

Option 2: 23

Option 3: 19

Option 4: 25

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 $a+b=1$, 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