Question : Simplify the given expression.
$(x - 2y)(y - 3x) + (x + y)(x - y) + (x - 3y)(2x + y)$

Option 1: $2y(x - 3y)$

Option 2: $2y(x + 3y)$

Option 3: $2x(x - 3y)$

Option 4: $2x(x + 3y)$

Question : What is the value of $\frac{x^2-x-6}{x^2+x-12}÷\frac{x^2+5x+6}{x^2+7x+12}$?

Option 1: $1$

Option 2: $\frac{(x-3)}{(x+3)}$

Option 3: $\frac{(x+4)}{(x-3)}$

Option 4: $\frac{(x-3)}{(x+4)}$

Question : Simplify the given expression.
$(1 - 2x)^2 - (1 + 2x)^2$

Option 1: $8x$

Option 2: $-8x$

Option 3: $-(2 + 8x^2)$

Option 4: $2 + 8x^2$

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

Option 1: 7

Option 2: 9

Option 3: 6

Option 4: 8

Question : If $x^4+y^4=x^2 y^2$, then the value of $x^6+y^6$ is:

Option 1: 2

Option 2: 0

Option 3: 1

Option 4: 3