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How would yoy rewrite the exspressuin 40s^3+40a^5 by factoring out the GCFAsked by duck
How would you rewrite the exspression 30s^3+40a^5 by factoring out the GCF
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Answered by
GPT-4o mini
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:
\[
10(3s^3 + 4a^5)
\]
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:
\[
10(3s^3 + 4a^5)
\]
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