Question

Factor completely 3x4 − 30x3 + 75x2

Answer 1

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

$3x^{2}(x-5)^{2}$

Answer 2

3x^2(x^2-10x+25) hope this helps