How would you rewrite the expression 30a3+40a5

Question

by factoring out the GCF?(1 point)
Responses

10a3(3a+4a2)
10 a superscript 3 baseline left parenthesis 3 a plus 4 a superscript 2 baseline right parenthesis

10a3(3+4a2)
10 a superscript 3 baseline left parenthesis 3 plus 4 a superscript 2 baseline right parenthesis

10a2(3+4a2)
10 a superscript 2 baseline left parenthesis 3 plus 4 a superscript 2 baseline right parenthesis

5a3(6+8a2)

Answer 1

To factor out the greatest common factor (GCF) from the expression \(30a^3 + 40a^5\), we first identify the GCF of the coefficients (30 and 40) and the variable part (\(a^3\) and \(a^5\)).

1. The GCF of the coefficients 30 and 40 is 10.
2. The GCF of \(a^3\) and \(a^5\) is \(a^3\).

By factoring out the GCF \(10a^3\) from the expression, we have:

\[ 30a^3 + 40a^5 = 10a^3(3 + 4a^2) \]

Therefore, the correct rewritten expression is:

10 a superscript 3 baseline left parenthesis 3 plus 4 a superscript 2 baseline right parenthesis.