Question

What is the greatest common factor of 63b^2c^4 and 42b^3c^2

Answer 1

Factor out the GCF of  

21

b

2

c

2

from  

63

b

2

c

4

+

42

b

3

c

2

.

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Factor out the GCF of  

21

b

2

c

2

from each term in the polynomial.

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Factor out the GCF of  

21

b

2

c

2

from the expression  

63

b

2

c

4

.

21

b

2

c

2

(

3

c

2

)

+

42

b

3

c

2

Factor out the GCF of  

21

b

2

c

2

from the expression  

42

b

3

c

2

.

21

b

2

c

2

(

3

c

2

)

+

21

b

2

c

2

(

2

b

)

Since all the terms share a common factor of  

21

b

2

c

2

, it can be factored out of each term.

21

b

2

c

2

(

3

c

2

+

2

b

)

The greatest common factor  

GCF

is the term in front of the factored expression.

21

b

2

c

2

Answer 2

Answer:

21b^2c^2

Step-by-step explanation:idk to be honest lol