Question

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

Answer 1

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)

Answer 2

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

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)`.