Answer:
[tex]\left(a-b\right)\sqrt{\frac{2}{a^2-b^2}}[/tex]
=
[tex]\frac{ \sqrt{2} }{a + b} [/tex]
Step-by-step explanation:
[tex]\left(a-b\right)\sqrt{\frac{2}{a^2-b^2}}[/tex]
[tex](a - b)( \frac{ {2}^{ \frac{1}{2} } }{(a + b)(a - b)} )[/tex]
[tex] \frac{(a - b)( {2}^{ \frac{1}{2} }) }{(a - b)(a + b)} = \frac{ \sqrt{2} }{a + b} [/tex]
