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

Problem

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

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 c^3

3. Identify the lowest power of the variable d present in both terms, which is d^2

4. Factor out the combined GCF, 9*c^3*d^2 from each term in the expression.

5. Divide each term by the GCF to determine the remaining terms inside the parentheses: (54*c^3*d^4)/(9*c^3*d^2)=6*d^2 and (9*c^4*d^2)/(9*c^3*d^2)=c

Final Answer

54*c^3*d^4+9*c^4*d^2=9*c^3*d^2*(6*d^2+c)

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