1.

Express with rational denominator(a+xsqrt(-1))/(a-xsqrt(-1))-(a-xsqrt(-1))/(a+xsqrt(-1))

Answer»

SOLUTION :`(a=xsqrt(-1))/(a-xsqrt(-1))-(a-xsqrt(-1))/(a+xsqrt(-1))`
`=(x+ix)/(a-ix)-(a-ix)/(a+ix)=((a+ix)^2-(a-ix)^2)/((a-ix)(a+ix))`
`=(4aix)/(a^2-i^2x^2)=(4aix)/(a^2+x^2)`


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