Write the following cubes in expanded form
$(3 a+5 b)^{3}$
$27 a^{3}+125 b^{3}+135 a^{2} b+225 a b^{2}$
Factorise
$x^{2}+\frac{y^{2}}{4}+\frac{z^{2}}{16}+x y+\frac{y z}{4}+\frac{z x}{2}$
Evaluate
$(101)^{2}$
Determine the degree of each of the following polynomials:
$y^{3}\left(1-y^{4}\right)$
Expand
$\left(\frac{x}{2}-\frac{2}{5}\right)^{2}$
Factorise $x^{2}-7 x+12$ by using the factor theorem.
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