Question

Factor out the GCF and factor completely. 9m3 - 16m

A
m(3m + 4)(3m - 4)

B
m(9m2 - 16)

C
m(9m - 4)

D
m(3m2 + 4)(3m2 + 4)

Answer 1

Option A m(3m + 4)(3m - 4)

Explanation:

we have

`9m^(3)-16m`

Factor m

`m[9m^(2)-16]`

Apply difference of squares

we know that

`[9m^(2)-16]=(3m+4)(3m-4)`

substitute

`m[9m^(2)-16]=m(3m+4)(3m-4)`