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\frac{1}{2}x+4\times \left(\frac{1}{2}\right)^{3}x^{3}\left(-2\right)
Expand \left(\frac{1}{2}x\right)^{3}.
\frac{1}{2}x+4\times \frac{1}{8}x^{3}\left(-2\right)
Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.
\frac{1}{2}x+\frac{1}{2}x^{3}\left(-2\right)
Multiply 4 and \frac{1}{8} to get \frac{1}{2}.
\frac{1}{2}x-x^{3}
Multiply \frac{1}{2} and -2 to get -1.
\frac{1}{2}x+4\times \left(\frac{1}{2}\right)^{3}x^{3}\left(-2\right)
Expand \left(\frac{1}{2}x\right)^{3}.
\frac{1}{2}x+4\times \frac{1}{8}x^{3}\left(-2\right)
Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.
\frac{1}{2}x+\frac{1}{2}x^{3}\left(-2\right)
Multiply 4 and \frac{1}{8} to get \frac{1}{2}.
\frac{1}{2}x-x^{3}
Multiply \frac{1}{2} and -2 to get -1.