Question

Factor completely 16a3b7 + 2a6b4 − 22a4b5

Answer 1

2a3b4(8b3 + a3 − 11ab)

Answer 2

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

Step-by-step explanation:

We have been given with
`16a^3b^7+2a^6b^4-22a^4b^5`

Factor completely means simplifying the expression at its maximum as much as we can

Taking out the common factors from the given expression we will get

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

we take the common factor which is of the least power throughtout the expression

like in the given expression we have taken
`a^3` and
`b^4` as a common factor.

Therefore the expression after complete factors will be
`2a^3b^4(8b^3+a^3-11ab)`