Simplify \(\dfrac{40 a^2 b c}{180 a c^2}\).
[1]Expand \((2 x-3)(5+x)\).
[2]Given that \((m+2 n)^2=28\) and \(m^2+4 n^2=12\), find the value of \(-8 m n\).
[2]Simplify the following as a single fraction in its simplest form.\[ \frac{2 x}{(x-5)(x+1)}+\frac{1}{5-x} \]
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