Question

Which of the following expressions is equivalent to 48a^3-75a

Answer 1

it will be 3a(16a^2-25)
which will be 3a(4a-5)(4a+5)

Answer 2

Answer: 3a(16a^2 - 25)

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)