Write the final factorization for each problem. 12a^3 + 20a^2b - 9ab^2 - 15b^3

allhvasstH 2021-02-25 Answered
Write the final factorization for each problem.
12a3+20a2b9ab215b3
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Expert Answer

Demi-Leigh Barrera
Answered 2021-02-26 Author has 97 answers
Step 1
GCF of 12a3and20a2bis=4a2
GCF of 9ab2and15b3is=3b2
Factor out 4a2 from the first two terms and then factor out 3b2 from the last two terms.
12a3+20a2b9ab215b3
=4a2(3a+5b)3b2(3a+5b)
Step 2
Then we can factor out (3a+5b) from both terms.
4a2(3a+5b)3b2(3a+5b)
=(3a+5b)(4a23b2)
Result:(3a+5b)(4a23b2)
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Jeffrey Jordon
Answered 2021-11-14 Author has 2064 answers

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