## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$t^2(t-2)(t^2+5)$
Factoring the $GCF= t^2$, then the given expression, $t^5-2t^4+5t^3-10t^2$ is equivalent to \begin{array}{l} t^2(t^3-2t^2+5t-10) .\end{array} Using factoring by grouping, the factored form of the expression, $t^2(t^3-2t^2+5t-10) ,$ \begin{array}{l} t^2[(t^3-2t^2)+(5t-10)] \\\\= t^2[t^2(t-2)+5(t-2)] \\\\= t^2[(t-2)(t^2+5)] \\\\= t^2(t-2)(t^2+5) .\end{array}