$$( \frac{ 1 }{ 2 } { x }^{ 2 } + \frac{ 5 }{ 3 } x)( \frac{ 1 }{ 2 } { x }^{ 2 } - \frac{ 5 }{ 8 } x)$$
$\frac{\left(4x-5\right)\left(3x+10\right)x^{2}}{48}$
$$\frac{1}{4}x^{4}+\frac{25}{48}x^{3}-\frac{25}{24}x^{2}$$
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$\frac{x^{4}}{4}+\frac{25x^{3}}{48}-\frac{25x^{2}}{24}$
