How would you rewrite the expression 6a9+8a5

Question

by factoring out the GCF?(1 point)
Responses

2a5(3a4+4)
2 a superscript 5 baseline left parenthesis 3 a superscript 4 baseline plus 4 right parenthesis

a5(6a4+8)
a superscript 5 baseline left parenthesis 6 a superscript 4 baseline plus 8 right parenthesis

2a5(3a4+4a)
2 a superscript 5 baseline left parenthesis 3 a superscript 4 baseline plus 4 a right parenthesis

2a5(3a4+8)

Answer 1

To rewrite the expression \(6a^9 + 8a^5\) by factoring out the greatest common factor (GCF), we first identify the GCF of the coefficients and the variable parts.

1. The coefficients are 6 and 8. The GCF of 6 and 8 is 2.
2. For the variable parts, the lowest power of \(a\) in both terms is \(a^5\).

Now, we can factor out \(2a^5\):

\[ 6a^9 + 8a^5 = 2a^5(3a^4 + 4) \]

Thus, the expression rewritten by factoring out the GCF is:

2a^5(3a^4 + 4)

So, the correct response is:

2a^5(3a^4 + 4)