Factorise
$\frac{4 x^{2}}{9}-\frac{x}{3}+\frac{1}{16}$
$\left(\frac{2}{3} x-\frac{1}{4}\right)^{2}$
Factorise the following:
$9 x^{2}-12 x+4$
If the polynomials $a z^{3}+4 z^{2}+3 z-4$ and $z^{3}-4 z+a$ leave the same remainder when divided by $z-3,$ find the value of $a$.
Without actually calculating the cubes, find the value of each of the following
$(0.2)^{3}-(0.3)^{3}+(0.1)^{3}$
Evaluate the following products without multiplying directly
$78 \times 84$
Find the value of the polynomial $3 x^{3}-4 x^{2}+7 x-5,$ when $x=3$
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