Question

What are the expressions that are equivalent, select all that APPLY.

Answer 1

Step-by-step explanation

The given question can be solved if we simplify the given expression

We are given the expression:

`48a^3-75a`

To find the equivalent expression, we can factorize

`\begin{gathered} =a(48a^2-75) \\ =3a(16a^2-25) \end{gathered}`

Thus, we have 3a(16a²-25)

We can simplify further by applying the difference of two squares

`3a(4a+5)(4a-5)`

Hence, we also have 3a(4a+5)(4a-5)

Also, we can re-write the expression as

`\begin{gathered} -75a-48a^3 \\ =-3a(25-16a^2) \end{gathered}`

Thus, we will have

-3a(25-16a²)

Therefore, we have 3 answers

3a(16a²-25)

3a(4a+5)(4a-5)

-3a(25-16a²)