Question : Simplify: $x^9 \times x^5 \times x^{-4} \times x^0 \times x^{-6}$

Option 1: $x^4$

Option 2: $x^-4$

Option 3: $x^-6$

Option 4: $x^6$

Question : Factorise: $x^{2}+5x-14$.

Option 1: $(x-7)(x+2)$

Option 2: $(x-1)(x+14)$

Option 3: $(x+7)(x-2)$

Option 4: $(x-14)(x+1)$

Question : Simplify the following expression.
$(4 x + 1)^2 - (4 x + 3)(4 x - 1)$

Option 1: $(4 x + 1)$

Option 2: $4$

Option 3: $(4x- 3)$

Option 4: $4x$

Question : Simplify:
${\frac{x^4-2 x^2+1}{x^2-2 x+1}}$

Option 1: $x^2-2 x+1$

Option 2: $x^2+2 x+2$

Option 3: $x^2+2 x+1$

Option 4: $x^2+x+1$

Question : If $x^{4}+\frac{1}{x^{4}}=34$, what is the value of $x^{3}-\frac{1}{x^{3}} $?

Option 1: 0

Option 2: 6

Option 3: 8

Option 4: 14