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If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]?
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If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]?
Solution:
Given a, b, c are in AP
Let the common difference be d.
So, b = a + d and c = a + 2d
Now, we need to find the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]
Simplifying, we get
(a^3 4b^3 c^3)/[b(a^2 c^2)]
= [(a^3)(4(a + d)^3)(a + 2d)^3]/[(a + d)(a^2)(a + 2d)^2]
= [(a^3)(4(a + d)^3)(a + 2d)]/[(a + d)(a)(a + 2d)]
= 4a^2(a + d)
Hence, the value of (a^3 4b^3 c^3)/[b(a^2 c^2)] is 4a^2(a + d).
Therefore, the answer is 4a^2(a + d).
Given a, b, c are in AP
Let the common difference be d.
So, b = a + d and c = a + 2d
Now, we need to find the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]
Simplifying, we get
(a^3 4b^3 c^3)/[b(a^2 c^2)]
= [(a^3)(4(a + d)^3)(a + 2d)^3]/[(a + d)(a^2)(a + 2d)^2]
= [(a^3)(4(a + d)^3)(a + 2d)]/[(a + d)(a)(a + 2d)]
= 4a^2(a + d)
Hence, the value of (a^3 4b^3 c^3)/[b(a^2 c^2)] is 4a^2(a + d).
Therefore, the answer is 4a^2(a + d).
Community Answer
If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]?
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If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]?.
If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a,b,c are jb AP then the value of (a^3 4b^3 c^3)/[b(a^2 c^2)]?.
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