Question

Factor the GCF: 28a3b4 + 20a2b2 − 16ab3.

Answer 1

find a common factor 4 is divisible by each of the numbers. as for the variables get the lowest exponent from the whole question.
ANSWER: 4ab2(7a2b2+5a-4b)

Answer 2

`4ab^2(7a^2b^2+5a-4b)`

Explanation:

28a3b4 + 20a2b2 − 16ab3.

`28a^3b^4 + 20a^2b^2 - 16ab^3`

To find GCF we look at a factor that divides 28, 20 and -16

All are divisible by 4. GCF of numbers is 4

for a^3, a^2 and a. GCF is always the variable with lowest exponent that is 'a'

for b^4, b^2 and b^3 the GCF is b^2

for whole expression the GCF is 4ab^2

Now we divide each term by GCF and put 4ab^2 outside

`4ab^2(7a^2b^2+5a-4b)`