Solve {c}{x^2(x^3-1)}{text{Fromoto}1}

$$\left. \begin{array} { c } { x ^ { 2 } ( x ^ { 3 } - 1 ) } \\ { \text { From o to } 1 } \end{array} \right.$$

Least Common Multiple

$$Fmrtx^{2}o^{3}\left(x^{3}-1\right)$$

Solution Steps

Factor the expressions that are not already factored.

$$x^{5}-x^{2}=\left(x-1\right)x^{2}\left(x^{2}+x+1\right)$$

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$Fmrt\left(x-1\right)x^{2}\left(x^{2}+x+1\right)o^{3}$$

Expand the expression.

$$Fmrto^{3}x^{5}-Fmrtx^{2}o^{3}$$

Evaluate

$$x^{2}\left(x^{3}-1\right),\ Fmrto^{3}$$