Respuesta :
Answer:
One of the factor is 6x.
Step-by-step explanation:
Given : Expression [tex]6x^3-864x[/tex]
To find : One of the factors of the expression ?
Solution :
First we find the factor of each term,
[tex]6x^3=2\times 3\times x\times x\times x[/tex]
[tex]864x=2\times 2\times 2\times 2\times 2\times 3\times 3\times 3\times x[/tex]
[tex]HCF(6x^3,864x)=2\times 3\times x[/tex]
[tex]HCF(6x^3,864x)=6x[/tex]
So, one of the factor is 6x.
[tex]6x^3-864x=6x(x^2-144)[/tex]
Another factor is [tex]x^2-144[/tex]
