Question

Factor the given expression using the GCF monomial please!

I actually need to understand this so please show your work as well, thank you!

Answer 1

9a^4b^10 ( 4 - 9a^12b^20)

Explanation:

The greatest common factor of the two terms is 9a^4b^10

You can now remove the greatest common factor outside the brackets.

Inside the brackets, you place the value obtained by dividing 36a^4b^10- 81a^16b^20 by 9a^4b^10

That is = 4 - 9a^12b^20

Please note that the laws of indices i used for the above division is: n^a divided by n^b = n^(a-b)

Now, the factorised answer for your question = 9a^4b^10 ( 4 - 9a^12b^20)

Hope thos helps