How do you factor the expression 5x^3 - 5x ^2 + 3x - 3?

Jan 14, 2016

$\left(x - 1\right) \left(5 {x}^{2} + 3\right)$
Identify by eye common factors in pairs of terms. Then the expression can be rewritten as $5 {x}^{2} \left(x - 1\right) + 3 \left(x - 1\right)$
The common factor $\left(x - 1\right)$ can then be extracted to give
$\left(x - 1\right) \left(5 {x}^{2} + 3\right)$