Evaluate the following product without multiplying directly: $104 \times 96$

Expand each of the following,using suitable identities: $\left[\frac{1}{4} a-\frac{1}{2} b+1\right]^{2}$

Divide $p(x)$ by $g(x)$,where $p(x) = x + 3x^2 - 1$ and $g(x) = 1 + x$.

Find the value of the polynomial $5x - 4x^2 + 3$ at $x = -1$.

Find the value of $k$,if $x - 1$ is a factor of $p(x)$ in this case: $p(x) = kx^2 - 3x + k$.

What are the possible expressions for the dimensions of the cuboids whose volumes are given below? $\boxed{\text{Volume} : 3x^2 - 12x}$