Answer:
-9m[(m+1)(m^2-m+1)]
Step-by-step explanation:
Given
-m(4m^(3 )+9 )-5m^4
The simplest form means the most factorized form of an expression
Multiplying –m into the bracket
=-4m^3.m-9m- 5m^4
= -4m^(4 )-9m- 5m^4
= -9m^4-9m
Taking -9m as common factor
= -9m( m^3+1)
m^3+1 can further be factorized
Using the cube’s formula
a^3+ b^3=(a+b)(a^(2 )+ b^2-ab)
So,
m^3+ 1=(m+1)(m^(2 )+ 1-m)
So
= -9m[(m+1)(m^2-m+1)]
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