Explanation
The given question can be solved if we simplify the given expression
We are given the expression:
[tex]48a^3-75a[/tex]
To find the equivalent expression, we can factorize
[tex]\begin{gathered} =a(48a^2-75) \\ =3a(16a^2-25) \end{gathered}[/tex]
Thus, we have 3a(16a²-25)
We can simplify further by applying the difference of two squares
[tex]3a(4a+5)(4a-5)[/tex]
Hence, we also have 3a(4a+5)(4a-5)
Also, we can re-write the expression as
[tex]\begin{gathered} -75a-48a^3 \\ =-3a(25-16a^2) \end{gathered}[/tex]
Thus, we will have
-3a(25-16a²)
Therefore, we have 3 answers
3a(16a²-25)
3a(4a+5)(4a-5)
-3a(25-16a²)
