Best solutions to - "Write the final factorization for each problem. 12a3+20a2b−9ab2−15b3"

Secondary
Algebra
Algebra II
Polynomial factorization

allhvasstH

Answered question

2021-02-25

Write the final factorization for each problem.

12 a^{3} + 20 a^{2} b - 9 a b^{2} - 15 b^{3}

Answer & Explanation

Demi-Leigh Barrera

Skilled2021-02-26Added 97 answers

Step 1
GCF of

12 a^{3} and 20 a^{2} b i s = 4 a^{2}

GCF of

- 9 a b^{2} and - 15 b^{3} i s = - 3 b^{2}

Factor out

4 a^{2}

from the first two terms and then factor out

- 3 b^{2}

from the last two terms.

12 a^{3} + 20 a^{2} b - 9 a b^{2} - 15 b^{3}

= 4 a^{2} (3 a + 5 b) - 3 b^{2} (3 a + 5 b)

Step 2
Then we can factor out (3a+5b) from both terms.

4 a^{2} (3 a + 5 b) - 3 b^{2} (3 a + 5 b)

= (3 a + 5 b) (4 a^{2} - 3 b^{2})

Result:

(3 a + 5 b) (4 a^{2} - 3 b^{2})

Jeffrey Jordon

Expert2021-11-14Added 2575 answers

Answer is given below (on video)

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