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Express with rational denominator(x+sqrt(-1))^2/(x-sqrt(-1))-((x-sqrt(-1^2)))/(x+sqrt(-1)) |
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Answer» SOLUTION :`(x+sqrt(-1))^2/(x-sqrt(-1))-((x-sqrt(-1^2)))/(x+sqrt(-1))` `((x+i)^2)/(x-i)-(x-i)^2/(x=i)=((x+i)^3-(x-i)^3)/((x-i)(x+i))` `=(2(3x^2I+i^3))/(x^2-i^2)=(2(3x^2i-i))/(x^2+1)` `=(2i(3x^2-1))/(x^2+1)` |
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