Factor the perfect square trinomial $4 m ^ { 3 } - 72 m ^ { 2 } + 324 m$ .
A) $4 m ( m + 9 ) ^ { 2 }$
B) $4 ( m + 9 ) ^ { 3 }$
C) $4 m ( m - 9 ) ^ { 2 }$
D) $4 ( m - 9 ) ^ { 3 }$
E) $4 m \left( m ^ { 2 } - 9 \right)$

Question

Quizplus · Accepted Answer

The trinomial can be factored by first factoring out the greatest common factor, which is $4m$, resulting in $4m(m^2 - 18m + 81)$. The expression inside the parentheses is a perfect square trinomial, factoring to $(m - 9)^2$. Thus, the complete factorization is $4m(m - 9)^2$.

Factor the Perfect Square Trinomial 4m3−72m2+324m4 m ^ { 3 } - 72 m ^ { 2 } + 324 m4m3−72m2+324m

Factor the Perfect Square Trinomial $4 m ^ { 3 } - 72 m ^ { 2 } + 324 m$