How would you rewrite the exspression 30s^3+40a^5 by factoring out the GCF

Answer 1

To factor the expression \(30s^3 + 40a^5\) by finding the greatest common factor (GCF), we first identify the coefficients and the variable parts.

1. Coefficients: The coefficients are 30 and 40. The GCF of 30 and 40 is 10.
2. Variable Parts: The variable parts are \(s^3\) and \(a^5\). There is no common variable, so we will only factor out the GCF from the coefficients.

Now, we can factor out the GCF of 10 from the expression:

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

So, the factored form of \(30s^3 + 40a^5\) is:

\[ 10(3s^3 + 4a^5) \]