How do you simplify (a^{3}+2a^{2}b-ab^{2}+3b^{3})(4ab)?

balastantpef

balastantpef

Answered question

2022-02-06

How do you simplify (a3+2a2bab2+3b3)(4ab)?

Answer & Explanation

Heidy Prince

Heidy Prince

Beginner2022-02-07Added 15 answers

Explanation:
(a3+2a2bab2+3b3)(4ab)
=(a3)(4ab)+(2a2b)(4ab)(ab2)(4ab)+(3b3)(4ab)
=4a3ab+8a2bab4ab2ab+12b3ab
By property
aman=am+n
Applying the same to powers of a and b
=4a(3+1)b+8a(2+1)b(1+1)4a(1+1)b(2+1)+12ab3+1
=4a4b+8a3b24a2b3+12ab4
=4a4b+4a3b2+12ab4

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