By using the factor theorem, show that $(x-3)$ is a factor of the polynomial $12 x^{3}-31 x^{2}-18 x+9$ and then factorise $12 x^{3}-31 x^{2}-18 x+9$
$(x-3)(3 x-1)(4 x+3)$
Write the following cubes in expanded form
$(2 a-5 b)^{3}$
Divide $p(x)=x^{3}+7 x^{2}+14 x+1$ by $x+3$ and find the quotient and the remainder.
Factorise :
$x^{2}+9 x+18$
Expand the following:
$(4 a-b+2 c)^{2}$
Simplify $(2 x-5 y)^{3}-(2 x+5 y)^{3}$
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