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IrinaVladis [17]
3 years ago
8

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

Mathematics
2 answers:
OLga [1]3 years ago
7 0
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)
Vladimir [108]3 years ago
4 0

Answer:

4ab^2(7a^2b^2+5a-4b)  

Step-by-step 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)  

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