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Alex777 [14]
2 years ago
6

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

Mathematics
2 answers:
elena-s [515]2 years ago
5 0

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

zalisa [80]2 years ago
5 0

Step-by-step explanation:

<u>Given expression:</u>

  • 36a^4 b^{10} - 81a^{16} b^{20}

a)

<u>GCF of the terms is:</u>

  • 9a^4b^{10}

<u>Factoring:</u>

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

b)

<u>Difference of squares:</u>

  • 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})

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

  • 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)
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