Answer :
The GCF of the three expressions is 9x^(1), which can also be written as 9x.
The greatest common factor (GCF) of three expressions can be found by identifying the highest power of each variable that appears in all three expressions. In this case, we have the following expressions:
Expression 1: 63x^(4)
Expression 2: 27x
Expression 3: 45x^(5)
To find the GCF, we need to compare the powers of x in each expression.
Expression 1 has x raised to the power of 4.
Expression 2 has x raised to the power of 1.
Expression 3 has x raised to the power of 5.
The highest power of x that appears in all three expressions is x^(1). Therefore, the GCF of the three expressions is x^(1).
Next, we need to compare the coefficients of each expression. The coefficients are the numbers in front of the variables.
Expression 1 has a coefficient of 63.
Expression 2 has a coefficient of 27.
Expression 3 has a coefficient of 45.
To find the GCF of the coefficients, we look for the largest number that divides evenly into all three coefficients. In this case, the largest number that divides evenly into 63, 27, and 45 is 9.
Therefore, the GCF of the three expressions is 9x^(1), which can also be written as 9x.
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