Task B-1.1. Factorize the expression $x^{5}-5 x^{3}+4 x$.






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$$
\begin{aligned}
x^{5}-5 x^{3}+4 x & =x\left(x^{4}-5 x^{2}+4\right)= \\
& =x\left(x^{2}-1\right)\left(x^{2}-4\right)= \\
& =x(x-1)(x+1)(x-2)(x+2)
\end{aligned}
$$

Solution.

$$
\begin{aligned}
x^{5}-5 x^{3}+4 x & =x\left(x^{4}-5 x^{2}+4\right)= \\
& =x\left(x^{2}-1\right)\left(x^{2}-4\right)= \\
& =x(x-1)(x+1)(x-2)(x+2)
\end{aligned}
$$