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Evaluate : ("A"/(2"B")+(2"B")/"A")("A"/(2"B")-(2"B")/"A") - Mathematics

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Question

Evaluate : `("a"/(2"b")+(2"b")/"a")("a"/(2"b")-(2"b")/"a")`

Sum

Solution

`("a"/(2"b")+(2"b")/"a")("a"/(2"b")-(2"b")/"a")`

`="a"/(2"b")("a"/(2"b")+(2"b")/"a")+(2"b")/"a"("a"/(2"b")-(2"b")/"a")`

`="a"^2/(4"b"^2)-1+1-(4"b"^2)/"a"^2`

`="a"^2/(4"b"^2)-(4"b"^2)/"a"^2`

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Product of Sum and Difference of Two Terms
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Chapter 12: Identities - Exercise 12 (A) [Page 150]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 12 Identities
Exercise 12 (A) | Q 5.03 | Page 150
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