Factor the polynomial completely. $64 - 25 m ^ { 2 }$
A) (64 $-$ 5 m ) (64 + 5 m )
B) (8 $-$ 25 m ) (8 + 25 m )
C) (8 $-$ 5 m ) (8 + 5 m )
D) (8 + m ) (8 + 5 m )
E) none of these

Question

Quizplus · Accepted Answer

This polynomial is in the form of the difference of squares, where 64 is equivalent to 8 squared and 25m^2 is equivalent to (5m)^2. Therefore, we can write the polynomial as (8 - 5m)(8 + 5m). This means the correct choice is C, which matches this factorization.

Factor the Polynomial Completely 64−25m264 - 25 m ^ { 2 }64−25m2

Factor the Polynomial Completely $64 - 25 m ^ { 2 }$