Question

Разложи на множители x(3)−p(2)x−px(2)+p(3).

Answer 1

    $x^3-p^2x-px^2+p^3=$

$=(x^3-px^2)-(p^2x-p^3)=$

$=x^{2}*(x-p)-p^2*(x-p)=$

$=(x-p)*(x^2-p^2)=$

$=(x-p)*(x-p)*(x+p)$