Question : The algebraic expression $4x^2-y^2+6y-9$ is equal to______.

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

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

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

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

Question : Simplify the given expression $\frac{(x+3)^3+(x-3)^3}{x^2+27}$.

Option 1: $3x$

Option 2: $x$

Option 3: $4x$

Option 4: $2x$

Question : Simplify the given expression $\frac{(x^3-y^3)(x+y)}{x^2+x y+y^2}$.

Option 1: $x - y$

Option 2: $x^2-y^2$

Option 3: $x + y$

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

Question : Simplify the given expression and find the value for $x=-1$.
$\frac{10 x^2+5 x+2 x y+y}{5 x+y}$

Option 1: –1

Option 2: 0

Option 3: 1

Option 4: 2

Question : If $4x^2+y^2 = 40$ and $xy=6$, then the value of $2x-y$ is:

Option 1: 1

Option 2: 3

Option 3: 4

Option 4: 2