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NISA [10]
3 years ago
15

Factor completely 16a^3b^7 + 2a^6b^4 − 22a^4b^5.

Mathematics
2 answers:
Elan Coil [88]3 years ago
5 0
I believe you have to factor 2a^3b^4 out of 16a^3b^7+2a^6b^4-22a^4b^5. 
2a^3b^4(8b^3+a^3-11ab)
iragen [17]3 years ago
4 0

Answer:

2 a^3 b^4 (a^3 - 11 a b + 8 b^3)

Step-by-step explanation:

The given expression is

16a^3b^7 + 2a^6b^4 -22a^4b^5

We need to find the factored form of the given expression.

In the given expression 2 a^3 b^4 is the greatest common factor of all terms.

Taking GCF we get.

2 a^3 b^4 (8 b^3+a^3 - 11 a b)

In can be written as

2 a^3 b^4 (a^3 - 11 a b + 8 b^3)

This expression is the complete factored form of the given expression because a^3 - 11 a b + 8 b^3 can not be factored further.

Therefore, the factor form of given expression is 2 a^3 b^4 (a^3 - 11 a b + 8 b^3).

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