Factorise $: 4 x^{2}+4 x y-3 y^{2}$
$4 x^{2}+4 x y-3 y^{2}$
$=4 x^{2}+6 x y-2 x y-3 y^{2}$
$=2 x(2 x+3 y)-y(2 x+3 y)$
$=(2 x+3 y)(2 x-y)$
Factorise :
$x^{2}+9 x+18$
If both $x-2$ and $x-\frac{1}{2}$ are factors of $p x^{2}+5 x+r,$ show that $p=r$
On dividing $p(x)=3 x^{3}-6 x^{2}+5 x-10$ by $(x-2),$ find the remainder.
Evaluate
$(1002)^{2}$
If $x+2 a$ is a factor of $x^{5}-4 a^{2} x^{3}+2 x+2 a+3,$ find $a$
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