Write the following cubes in expanded form
$(3 x+2 y)^{3}$
$=(3 x)^{3}+(2 y)^{3}+3(3 x)(2 y)(3 x+2 y)$
$=27 x^{3}+8 y^{3}+18 x y(3 x+2 y)$
$=27 x^{3}+8 y^{3}+54 x^{2} y+36 x y^{2}$
If $p(3)=0$ for polynomial $p(x),$ state one factor of $p(x)$
Determine which of the following polynomials has $x-2$ a factor :
$3 x^{2}+6 x-24$
$4 x^{2}+ x-2$
Factorise :
$a^{3}-8 b^{3}-64 c^{3}-24 a b c$
Evaluate
$(1002)^{2}$
Give possible expressions for the length and breadth of the rectangle whose area is given by $4 a^{2}+4 a-3$
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