Answer:
\(\text{The factors of }p^5-144p^3\text{ are }p^3, (p-12), (p+12)\)
The correct option is D i.e all of the above
Step-by-step explanation:
Given the expression
\(p^5-144p^3\)
we have to find the factors of above expression.
Expression: \(p^5-144p^3\)
\(\text{Taking }p^3\text{ common, we get}\)
\(p^3(p^2-144)\)
\(p^3(p^2-12^2)\)
\(a^2-b^2=(a-b)(a+b)\)
\(p^3(p^2-12^2)=p^3(p-12)(p+12)\)
\(\text{Hence, the factors of }p^5-144p^3\text{ are }p^3, (p-12), (p+12)\)
Therefore, the correct option is D i.e all of the above
