Question : If $a^2+b^2+c^2=62$ and $a + b + c = 12$, then what is the value of $4ab + 4bc + 4ca$?

Option 1: 164

Option 2: 148

Option 3: 152

Option 4: 160

Question : If $2a+3b=14$ and $2a-3b=10$, then find the value of ' $ab$ '.

Option 1: 5

Option 2: 3

Option 3: 4

Option 4: 2

Question : If $a+\frac{1}{a}=2$ and $b+\frac{1}{b}=-2$, then what is the value of $a^2+\frac{1}{a^2}+b^2+\frac{1}{b^2} ?$

Option 1: 0

Option 2: 2

Option 3: 8

Option 4: 4

Question : What is the value of $(a+b)^2+(a-b)^2$?

Option 1: $8ab$

Option 2: $4ab$

Option 3: $4(a^2+b^2)$

Option 4: $2(a^2+b^2)$

Question : If $a+\frac{1}{a}=8$, then what is the value of $\frac{1}{a^4}+a^4 ?$

Option 1: 4098

Option 2: 3846

Option 3: 3842

Option 4: 4094