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Answer :
Final answer:
The expression 44x^14 + 36x^12 + 60x^9 can be simplified by taking out the greatest common factor of 4x^9. This results in rewriting the expression as 4x^9(11x^5 + 9x^3 + 15).
Explanation:
The goal is to rewrite the given expression 44x^14 + 36x^12 + 60x^9 by taking out the greatest common factor (GCF) and putting it in front. The GCF in this case is 4x^9.
When you divide each term by the GCF, you will get the expression within the bracket.
For 44x^14, you would divide it by 4x^9, which equals to 11x^5.
For 36x^12, you divide it by 4x^9, which equals 9x^3.
For 60x^9, you divide it by 4x^9, which equals 15.
So, the expression 44x^14 + 36x^12 + 60x^9 can be rewritten as 4x^9(11x^5 + 9x^3 + 15).
Learn more about Greatest Common Factor (GCF) here:
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