Factor 54c^3d^4+9c^4d^2

Problem

54*c3*d4+9*c4*d2

Solution

1. Identify the greatest common factor (GCF) of the numerical coefficients 54 and 9 which is 9

2. Identify the lowest power of the variable c present in both terms, which is c3

3. Identify the lowest power of the variable d present in both terms, which is d2

4. Factor out the combined GCF, 9*c3*d2 from each term in the expression.

5. Divide each term by the GCF to determine the remaining terms inside the parentheses: (54*c3*d4)/(9*c3*d2)=6*d2 and (9*c4*d2)/(9*c3*d2)=c

Final Answer

54*c3*d4+9*c4*d2=9*c3*d2*(6*d2+c)

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