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

User Matusalem Marques
by
2.5k points

1 Answer

17 votes
17 votes

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)

User Eriophora
by
2.6k points
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