Which of the following expressions is equivalent to 48a^3-75a
![Which of the following expressions is equivalent to 48a375a class=](https://us-static.z-dn.net/files/d9d/58f938aec68cdda2fea062e54a5f5cc0.png)
Answer: 3a(16a^2 - 25)
Step-by-step explanation:
48a^3-75a
We can find the factors
48a^3= 2×2×2×2×3×a×a×a
75a= 3×5×5×a
Common factor= 3a
Therefore,
48a^3= 3a(16a^2)
75a= 3a(25)
We then put them back into the question
48a^3-75a= 3a(16a^2 - 25)