Question

x^3+10x^2+25 factor completely and show work

Answer 1

the given expression is

$=x^3+10x^2+25x$$\begin{gathered} =x(x^2+10x+25) \\ =x(x^2+5x+5x+25) \\ =x(x(x+5)+5(x+5)) \\ =x(x+5)(x+5) \end{gathered}$

so the asnwer is x(x+5)(x+5)