Factor completely 3x4 − 30x3 + 75x2
3x^2(x^2-10x+25) hope this helps
we have
\(3x^{4}-30 x^{3}+75 x^{2}\)
Factor the leading coefficient
\(3x^{2}(x^{2}-10 x+25)\)
we know that
\((x^{2}-10 x+25)=(x-5)^{2}\)
substitute
\(3x^{2}(x-5)^{2}=3x^{2}(x-5)(x-5)\)
therefore
the answer is
\(3x^{2}(x-5)^{2}\)
