Question : What is the expansion of ($x$ + 11)($x$ – 11)?

Option 1: $x$² + 11

Option 2: $x$² – 121

Option 3: $x$² + 121

Option 4: $x$² – 11

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 a + b + c = 0, then the value of (a + b – c)² + ( b + c – a)² + ( c + a – b)² is:

Option 1: 0

Option 2: 8abc

Option 3: 4(a² + b² + c²)

Option 4: 4(ab + bc + ca)

Question : If $x^{\frac{1}{4}}+x^{\frac{-1}{4}}=2$, then what is the value of $x^{81}+\frac{1}{x^{81}}$?

Option 1: –2

Option 2: 0

Option 3: 1

Option 4: 2

Question : The value of $(x^{b+c})^{b–c}(x^{c+a})^{c–a}(x^{a+b})^{a–b}$, where $(x\neq 0)$ is:

Option 1: 1

Option 2: 2

Option 3: –1

Option 4: 0