Asked by htht
What is the sum?
StartFraction 2 Over x squared EndFraction + StartFraction 4 Over x squared EndFraction
StartFraction 6 Over x squared EndFraction
StartFraction 6 Over x Superscript 4 EndFraction
StartFraction 6 Over 2 x squared EndFraction
StartFraction 8 Over x squared EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the terms as
2/x^2 + 4/x^2 + 6/x^2 + 6/x^4 + 6/(2x^2) + 8/x^2.
Note 6/(2x^2) = 3/x^2. Combine the x^2-terms:
2+4+6+3+8 = 23, so those give 23/x^2. Add the x^4-term 6/x^4:
Sum = 23/x^2 + 6/x^4 = (23x^2 + 6)/x^4, for x ≠ 0.
2/x^2 + 4/x^2 + 6/x^2 + 6/x^4 + 6/(2x^2) + 8/x^2.
Note 6/(2x^2) = 3/x^2. Combine the x^2-terms:
2+4+6+3+8 = 23, so those give 23/x^2. Add the x^4-term 6/x^4:
Sum = 23/x^2 + 6/x^4 = (23x^2 + 6)/x^4, for x ≠ 0.
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