Math, asked by shalu9801, 9 months ago

6. Simplify: {2x -1/(2x)}^2 - {2x+1/(2x)}{2x-1/(2x)}

Answers

Answered by deadline15
6

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Answered by shinchanisgreat
2

Your Question:

(\frac{2x-1}{2x} )^{2} -  (\frac{2x+1}{2x})(\frac{2x-1}{2x})

Answer:

(\frac{2x-1}{2x} )^{2} -( \frac{(2x-1)(2x+1)}{4x^{2} } )      

 [\frac{4x^{2}-4x+1 }{4x^{2} } ]-[\frac{4x^{2} -1}{4x^{2} } ]                    [∴ (a-b)(a+b) = (a²-b²)]

\frac{1}{4x^{2} } [4x^{2} -4x+1-4x^{2} +1]

-\frac{1}{4x^{2} } [4x-2]

-\frac{2}{4x^{2} } [2x-1]

-\frac{1}{2x^{2} } [2x-1]

Hope this answer helps you ^_^ !

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