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ANTONII [103]
3 years ago
6

%7D%7B%5Csqrt%7Ba%2Bb%7D%20%7D" id="TexFormula1" title="\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }" alt="\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Tpy6a [65]3 years ago
4 0

Step-by-step explanation:

\frac{ \sqrt{a + b} }{ \sqrt{a - b} }   +   \frac{ \sqrt{a - b} }{ \sqrt{a + b} }  \\ squaring \: on \: both \: sides \\   \frac{a + b}{a - b}  +  \frac{a - b}{a + b}  \\  \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)}  \\   \frac{ {(a + b)}^{2} +  {(a - b)}^{2}  }{ {a}^{2} -  {b}^{2}  }  \\  remaining \: in \: attachment

thank \: you

andrezito [222]3 years ago
3 0

Answer:

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

Step-by-step explanation:

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