Question

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

Answer 1

Answer:

it wants you to factor/solve for 36a^4 b^10 -81a^18 B^20 using those strategies, so i believe you're already done.

Step-by-step explanation:

IM NOT A EXPERT THOUGH

Answer 2

Step-by-step explanation:

Given expression:

• $36a^4 b^{10} - 81a^{16} b^{20}$

a)

GCF of the terms is:

• $9a^4b^{10}$

Factoring:

• $36a^4 b^{10} - 81a^{16} b^{20}=9a^4b^{10}(4 - 9a^{12}b^{10})$

b)

Difference of squares:

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

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

• $9a^4b^{10}(4 - 9a^{12}b^{10})=9a^4b^{10}(2 + 3a^6b^5)(2-3a^6b^5)$
• $(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})=9a^4b^{10}(2 + 3a^6b^5)(2-3a^6b^5)$