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Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3?
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Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷...
Solution:
We can rewrite the expression x=p^1÷3-p^1÷3 as:
x = p^(1/3) - p^(1/3)
Now, let's use the identity (a-b)^3 = a^3 - b^3 - 3ab(a-b) where a = p^(1/3) and b = p^(1/3):
(a-b)^3 = a^3 - b^3 - 3ab(a-b)
(p^(1/3) - p^(1/3))^3 = (p^(1/3))^3 - (p^(1/3))^3 - 3(p^(1/3))(p^(1/3))(p^(1/3) - p^(1/3))
0 = 0
Therefore, (p^(1/3) - p^(1/3))^3 = 0, which means that x = 0.
Answer:
The value of x is 0.
We can rewrite the expression x=p^1÷3-p^1÷3 as:
x = p^(1/3) - p^(1/3)
Now, let's use the identity (a-b)^3 = a^3 - b^3 - 3ab(a-b) where a = p^(1/3) and b = p^(1/3):
(a-b)^3 = a^3 - b^3 - 3ab(a-b)
(p^(1/3) - p^(1/3))^3 = (p^(1/3))^3 - (p^(1/3))^3 - 3(p^(1/3))(p^(1/3))(p^(1/3) - p^(1/3))
0 = 0
Therefore, (p^(1/3) - p^(1/3))^3 = 0, which means that x = 0.
Answer:
The value of x is 0.
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Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3?
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Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3? 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 Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3?.
Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3? 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 Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using (a-b)^3 = a^3-b^3-3ab(a-b) tick the correct of these when x=p^1÷3-p^1÷3?.
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