Factorise

$\frac{x^{2}}{4}+\frac{3 x y}{5}+\frac{9 y^{2}}{25}$

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$\left(\frac{1}{2} x+\frac{3}{5} y\right)^{2}$

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If both $x-2$ and $x-\frac{1}{2}$ are factors of $p x^{2}+5 x+r,$ show that $p=r$

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