Question : Expand and simplify the algebraic expression:
$(x-5)^2+(x+3)^2+4x$

Option 1: $2\left(x^2-17\right)$

Option 2: $2\left(x^2+17\right)$

Option 3: $\left(x^2+17\right)$

Option 4: $2\left(x^2-5 x+17\right)$

Question : Simplify the following expression.
$\frac{x^2-2 x-63}{x^2+14 x+49}$

Option 1: $\frac{x+9}{x+7}$

Option 2: $\frac{x-7}{x+7}$

Option 3: $\frac{x+7}{x-7}$

Option 4: $\frac{x-9}{x+7}$

Question : A complete factorisation of $(x^4+64)$ is:

Option 1: $(x^2+8)^2$

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

Option 3: $(x^2-4x+8)(x^2-4x-8)$

Option 4: $(x^2+4x+8)$$(x^2-4x+8)$

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 : Simplify the given expression.
$y+2 x-[(y-(y-x+y)-(x+y)+y]-2 y$

Option 1: $-y$

Option 2: $-2x$

Option 3: $y$

Option 4: $2x$