Factorise : $12 x^{2}-7 x+1$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=2 x^{2}+k x+\sqrt{2}$
Without actually calculating the cubes, find the value of each of the following : $(-12)^{3}+(7)^{3}+(5)^{3}$
Factorise : $\frac{25}{4} x^{2}-\frac{y^{2}}{9}$
What are the possible expressions for the dimensions of the cuboids whose volumes are given below ?$\boxed{\rm {Volume}\,:3x^2-12x}$