SOLUTION: I have never come across determining which term in the expansion of an equation is a constant, can you help me for the term:
(1/(2x^3) - x^5)^8 for which is a constant?
thank
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-> SOLUTION: I have never come across determining which term in the expansion of an equation is a constant, can you help me for the term:
(1/(2x^3) - x^5)^8 for which is a constant?
thank
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Question 647856: I have never come across determining which term in the expansion of an equation is a constant, can you help me for the term:
(1/(2x^3) - x^5)^8 for which is a constant?
thank you much Found 2 solutions by Edwin McCravy, AnlytcPhil:Answer by Edwin McCravy(20060) (Show Source):
There are 9 terms in the expansion, each one is of this form:
, where k goes from 0 through 8
Simplifying
Subtract exponents of x
Simplifying:
The only time x raised to a power is NOT a variable, but a
constant, is when the exponent of the power is 0, since x0 = 1,
and 1 is a constant, not a variable.
Therefore we take the exponent of x, which is 8k-24, and set it
equal to 0:
8k-24 = 0
8k = 24
k = 3
So we substitute k = 3 in
Edwin
There are 9 terms in the expansion, each one is of this form:
, where k goes from 0 through 8
Simplifying
Subtract exponents of x
Simplifying:
The only time x raised to a power is NOT a variable, but a
constant, is when the exponent of the power is 0, since x0 = 1,
and 1 is a constant, not a variable.
Therefore we take the exponent of x, which is 8k-24, and set it
equal to 0:
8k-24 = 0
8k = 24
k = 3
So we substitute k = 3 in
Edwin
