Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Please help me with this! I got one answer, although I am not sure if it is correct. i think it wants 2 answers

Please Help Me With This I Got One Answer Although I Am Not Sure If It Is Correct I Think It Wants 2 Answers class=

Sagot :

Step-by-step explanation:

Given expression:

  • [tex]36a^4 b^{10} - 81a^{16} b^{20}[/tex]

a)

GCF of the terms is:

  • [tex]9a^4b^{10}[/tex]

Factoring:

  • [tex]36a^4 b^{10} - 81a^{16} b^{20}=9a^4b^{10}(4 - 9a^{12}b^{10})[/tex]

b)

Difference of squares:

  • [tex]36a^4 b^{10} - 81a^{16} b^{20}=(6a^2b^5)^2-(9a^8b^{10})^2=[/tex]
  • [tex](6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})[/tex]

If you combine both of the methods you will end up with the answer given on the bottom of the question:

  • [tex]9a^4b^{10}(4 - 9a^{12}b^{10})=9a^4b^{10}(2 + 3a^6b^5)(2-3a^6b^5)[/tex]
  • [tex](6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})=9a^4b^{10}(2 + 3a^6b^5)(2-3a^6b^5)[/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.