Factor the trinomial completely by using any method. Remember to look for a common factor first. $4 t ^ { 3 } - 40 t ^ { 2 } u + 100 t u ^ { 2 }$
A) Prime
B) $4 t ^ { 2 } ( 1 - 5 u ) ^ { 2 }$
C) $4 t ( t - 5 u ) ( t + 5 u )$
D) $4 t ( t - 5 u ) ^ { 2 }$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $4t$, resulting in $4t(t^2 - 10tu + 25u^2)$. The trinomial inside the parentheses factors further into $(t - 5u)^2$, giving the final answer as $4t(t - 5u)^2$.

Factor the Trinomial Completely by Using Any Method 4t3−40t2u+100tu24 t ^ { 3 } - 40 t ^ { 2 } u + 100 t u ^ { 2 }4t3−40t2u+100tu2

Factor the Trinomial Completely by Using Any Method $4 t ^ { 3 } - 40 t ^ { 2 } u + 100 t u ^ { 2 }$