CA Foundation Exam > CA Foundation Questions > If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b...
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If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none?
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If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none?
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If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none?
Given:
x = p^(1/3) - p^(-1/3)
To find:
x^3 * 3x
Solution:
Step 1: Simplify x
We can simplify x by rationalizing the denominator:
x = p^(1/3) - p^(-1/3)
= (p^(1/3) * p^(2/3)) / (p^(1/3) * p^(-1/3))
= (p^(1/3 + 2/3)) / p
= (p^(3/3)) / p
= p / p
= 1
Step 2: Substitute x = 1 in the expression x^3 * 3x
x^3 * 3x = 1^3 * 3(1)
= 1 * 3
= 3
Answer:
The value of x^3 * 3x is 3. Therefore, the correct option is d) none.
x = p^(1/3) - p^(-1/3)
To find:
x^3 * 3x
Solution:
Step 1: Simplify x
We can simplify x by rationalizing the denominator:
x = p^(1/3) - p^(-1/3)
= (p^(1/3) * p^(2/3)) / (p^(1/3) * p^(-1/3))
= (p^(1/3 + 2/3)) / p
= (p^(3/3)) / p
= p / p
= 1
Step 2: Substitute x = 1 in the expression x^3 * 3x
x^3 * 3x = 1^3 * 3(1)
= 1 * 3
= 3
Answer:
The value of x^3 * 3x is 3. Therefore, the correct option is d) none.
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If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none?
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If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none?.
If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x=p^1/3-p^(-1/3) then x^3+3x=? a)p (1/p) b)p-(1/p) c)p 1 d)none?.
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