Question

6n3-3n5 factored out

Answer 1

Answer:

$3n^3(2-n^2)$

Step-by-step explanation:

Given expression:

$6n^3-3n^5$

To factor out the expression completely.

Solution:

In order to factor out the expression, we will find the greatest common factor of each term.

To find the G.C.F. of the two terms, we will list down their factors and then find the common ones.

The factors of the terms can be given as:

$6n^3=2\times 3\times n\times n\times n$

$3n^5=3\times n\times n\times n \times n\times n$

The G.C.F. = $3\times n\times n\times n=3n^3$

So, we factor out the G.C.F. and write the remaining factors inside the parenthesis.

The expression will be given using distributive property as:

⇒ $3n^3(2-n^2)$ (Answer)