Question : Given: $(a-b)=2, (a^{3}-b^{3})=26$, then $(a+b)^{2}$ is:

Option 1: 9

Option 2: 4

Option 3: 16

Option 4: 12

Question : If $(4 y-\frac{4}{y})=13$, find the value of $(y^2+\frac{1}{y^2})$.

Option 1: $12 \frac{11}{16}$

Option 2: $10 \frac{9}{16}$

Option 3: $12 \frac{9}{16}$

Option 4: $8 \frac{9}{16}$

Question : If $(x-5)^2+(y-2)^2+(z-9)^2=0$, then value of $(x+y-z)$ is:

Option 1: 16

Option 2: –1

Option 3: –2

Option 4: 12

Question : Directions: (2)^* * 4 = 2, and (4)^* * 4 = 16, then what is the value of A in (6)^* * A = 18?

Option 1: 12

Option 2: 14

Option 3: 16

Option 4: 20

Question : If $8 a^3+27 b^3=16$ and $2 a+3 b=4$, then find the value of $16 a^4+81 b^4$.

Option 1: 26

Option 2: 30

Option 3: 28

Option 4: 32

Question : If $(x-\frac{1}{3})^2+(y-4)^2=0$, then what is the value of $\frac{y+x}{y-x}$?

Option 1: $\frac{11}{13}$

Option 2: $\frac{13}{11}$

Option 3: $\frac{16}{9}$

Option 4: $\frac{9}{16}$