Expand
$\left(\frac{x}{2}+\frac{2 y}{3}-\frac{3 z}{4}\right)^{2}$
$\frac{1}{4} x^{2}+\frac{4}{9} y^{2}+\frac{9}{16} z^{2}+\frac{2}{3} x y-y z-\frac{3}{4} z x$
Factorise the following:
$9 x^{2}-12 x+4$
With the help of the remainder theorem. examine whether $x+2$ is a factor of the polynomial $x^{3}+9 x^{2}+26 x+24$ or not.
Factorise the following quadratic polynomials by splitting the middle term
$x^{2}-3 x-40$
On dividing $p(x)=2 x^{3}-3 x^{2}+a x-3 a+9$ by $(x+1),$ if the remainder is $16,$ then find the value of $a$. Then, find the remainder on dividing $p(x)$ by $x+2$
Factorise
$6 x^{3}+7 x^{2}-14 x-15$
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