Question : The simplified form of $(x+3)^2+(x-1)^2$ is:

Option 1: $(x^2+2x+5)$

Option 2: $2(x^2+2x+5)$

Option 3: $(x^2-2x+5)$

Option 4: $2(x^2-2x+5)$

Question : The simplified form of $(x+3)^{2}+(x-1)^{2}$ is:

Option 1: $(x^{2}+2x+5)$

Option 2: $2(x^{2}+2x+5)$

Option 3: $(x^{2}-2x+5)$

Option 4: $2(x^{2}-2x+5)$

Question : If $x^2-11x+1=0$, what is the value of $x^8-14159x^4+11$?

Option 1: 9

Option 2: 10

Option 3: 12

Option 4: 11

Question : Which of the following expressions is equal to the expression $\frac{x^2-3 x+2}{x^2-4}$?

Option 1: $\frac{x+1}{x-2}$

Option 2: $\frac{x-1}{x+2}$

Option 3: $\frac{x+1}{x+2}$

Option 4: $\frac{x-1}{x-2}$

Question : If $x+\frac{1}{x}=3$, then the value of $\frac{3x^{2}-4x+3}{x^{2}-x+1}$ is:

Option 1: $\frac{4}{3}$

Option 2: $\frac{3}{2}$

Option 3: $\frac{5}{2}$

Option 4: $\frac{5}{3}$