# Simplify the function: f(x)=5x^3x+5/2x^3-9x^4+sqrt2x^2+4x-1-x^(-5)x^5-4

Simplify the function:
$$\displaystyle{f{{\left({x}\right)}}}={5}{x}^{{3}}{x}+\frac{{5}}{{2}}{x}^{{3}}-{9}{x}^{{4}}+\sqrt{{2}}{x}^{{2}}+{4}{x}-{1}-{x}^{{-{5}}}{x}^{{5}}-{4}$$

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Nicole Conner
$$\displaystyle{f{{\left({x}\right)}}}={5}{x}^{{3}}{x}+\frac{{5}}{{2}}{x}^{{3}}-{9}{x}^{{4}}+\sqrt{{2}}{x}^{{2}}+{4}{x}-{1}-{x}^{{-{5}}}{x}^{{5}}-{4}$$
$$\displaystyle={f{{\left({x}\right)}}}={5}{x}^{{{4}}}+\frac{{5}}{{2}}{x}^{{3}}-{9}{x}^{{4}}+\sqrt{{2}}{x}^{{2}}+{4}{x}-{1}-{x}^{{0}}-{4}$$
$$\displaystyle={\left({5}{x}^{{4}}-{9}{x}^{{4}}\right)}+\frac{{5}}{{2}}{x}^{{3}}+\sqrt{{2}}{x}^{{2}}+{4}{x}-{6}$$
$$\displaystyle=-{4}{x}^{{4}}+\frac{{5}}{{2}}{x}^{{3}}+\sqrt{{2}}{x}^{{2}}+{4}{x}-{6}$$