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16-04-2020
Mathematics

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Given a≠±b and ( (a^2−b^2) / (a+b) )=12, find a−b.
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LammettHash LammettHash

16-04-2020

[tex]a-b=12[/tex], since

[tex]a^2-b^2=(a-b)(a+b)[/tex]

and when [tex]a\neq-b[/tex], we have

[tex]\dfrac{a^2-b^2}{a+b}=\dfrac{(a-b)(a+b)}{a+b}=a-b=12[/tex]

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