Question

Simplify the equation
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Answer 1

Answer:

b^2/a^2

Step-by-step explanation:

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Answer 2

Answer:

$= > \frac{ \sqrt{ {a}^{2} - {b}^{2} } + a }{ \sqrt{ {a}^{2} + {b}^{2} } + b} \div \frac{ \sqrt{ {a}^{2} + {b}^{2} } - b }{a - \sqrt{ {a}^{2} - {b}^{2} } } \\ \\ = > \frac{ \sqrt{ {a}^{2} - {b}^{2} } + a }{\sqrt{ {a}^{2} + {b}^{2} } + b} \times \frac{a - \sqrt{ {a}^{2} - {b}^{2} }}{\sqrt{ {a}^{2} + {b}^{2} } - b} \\ \\ = > \frac{a +\sqrt{ {a}^{2} - {b}^{2} } }{\sqrt{ {a}^{2} + {b}^{2} } + b} \times \frac{a - \sqrt{ {a}^{2} - {b}^{2} }}{\sqrt{ {a}^{2} + {b}^{2} } - b} \\ \\ Using \: formula = > (a + b)(a - b) = {a}^{2} - {b}^{2} \\ We \: get \: the \: following \: results:$

$= > \frac{(a +\sqrt{ {a}^{2} - {b}^{2} } )(a - \sqrt{ {a}^{2} - {b}^{2} })}{(\sqrt{ {a}^{2} + {b}^{2} } + b)(\sqrt{ {a}^{2} + {b}^{2} } - b)} \\ \\ = > \frac{( {a)}^{2} - {( \sqrt{ {a}^{2} - {b}^{2} } )}^{2} }{ {( \sqrt{ {a}^{2} + {b}^{2} }) }^{2} - {b}^{2} } \\ \\ = > \frac{ {a}^{2} - ( {a}^{2} - {b}^{2} )}{ ({a}^{2} + {b}^{2} ) - {b}^{2} } \\ \\ = > \frac{ {a}^{2} - {a}^{2} + {b}^{2} }{ {a}^{2} + {b}^{2} - {b}^{2} } \\ \\ = > \frac{ {b}^{2} }{ {a}^{2} } \\ \\ = > { (\frac{b}{a} )}^{2}$