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 : The term that should be added to ($4x^2+8x$) so that the resulting expression be a perfect square, is:

Option 1: $2$

Option 2: $4$

Option 3: $2x$

Option 4: $1$

Question : Simplify the given expression: $(1 + x)^3 + (1 – x)^3 + (–2)^3$

Option 1: $6(1 - x^2)$

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

Option 3: $-6(1 - x^2)$

Option 4: $3(1 - x^2)$

Question : Simplify:
$(x+y)^3-(x-y)^3-6y(x^2-y^2)$

Option 1: $8y^3$

Option 2: $x^3$

Option 3: $8x^2$

Option 4: $y^3$

Question : Simplify the given expression: $b + 2a - [(3b + a) - (2a + b) + 2a] - a$

Option 1: $-a$

Option 2: $b$

Option 3: $-b$

Option 4: $a$