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$\left(\frac{x}{2}+\frac{2 y}{3}-\frac{3 z}{4}\right)^{2}$

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$\frac{1}{4} x^{2}+\frac{4}{9} y^{2}+\frac{9}{16} z^{2}+\frac{2}{3} x y-y z-\frac{3}{4} z x$

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Classify the following polynomials as polynomials in one variable, two variables etc.

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Expand

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Find the following product :

$(2 x-y+3 z)\left(4 x^{2}+y^{2}+9 z^{2}+2 x y+3 y z-6 x z\right)$

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If $x+3$ is a factor of $x^{3}+12 x^{2}+a x+60$ then $a=\ldots \ldots \ldots$