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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 30a^3+40a^5 by factoring out the GCF
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Answered by
GPT-4o mini
To factor the expression \(30a^3 + 40a^5\) by finding the greatest common factor (GCF), we first identify the GCF of the coefficients and the variable part.
1. **Coefficients:** The coefficients are 30 and 40. The GCF of 30 and 40 is 10.
2. **Variable part:** The variable part consists of \(a^3\) and \(a^5\). The GCF is \(a^3\) since it's the lowest power of \(a\).
Now, we can factor out the GCF:
\[
30a^3 + 40a^5 = 10a^3(3 + 4a^2)
\]
Therefore, the expression \(30a^3 + 40a^5\) factored by pulling out the GCF is:
\[
10a^3(3 + 4a^2)
\]
1. **Coefficients:** The coefficients are 30 and 40. The GCF of 30 and 40 is 10.
2. **Variable part:** The variable part consists of \(a^3\) and \(a^5\). The GCF is \(a^3\) since it's the lowest power of \(a\).
Now, we can factor out the GCF:
\[
30a^3 + 40a^5 = 10a^3(3 + 4a^2)
\]
Therefore, the expression \(30a^3 + 40a^5\) factored by pulling out the GCF is:
\[
10a^3(3 + 4a^2)
\]
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