Efficiently Separate Complex Expressions | Simplify Fractions

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The discussion focuses on separating a complex fraction expression into two distinct parts. The user seeks to express the fraction ([G + 1/T]*Omega^2) / ([4*Delta^2] + [G + 1/T]^2) in a way that isolates one component, specifically (G * Omega^2) / (4*[Delta^2 + G^2/4]). Another suggestion involves simplifying Omega^2/(4*[Delta^2 + G^2/4]) similarly. The response emphasizes that to separate a fraction A into parts, one can simply subtract the desired part B from A to find the remaining component. The conversation highlights the mathematical principle of fraction separation and simplification.
Silva_physics
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Separate the fraction!:)

Hi! Could somebody can me, please?

I want to separate this expression ([G + 1/T]*Omega^2) / ([4*Delta^2] + [G + 1/T]^2) into two parts so that one would be (G * Omega^2) / (4*[Delta^2 + G^2/4])

or

separate this expression Omega^2/(4*[Delta^2 + G^2/4]) into two parts so that one would be (G * Omega^2) / (4*[Delta^2 + G^2/4])!

Thanks a lot!:)
 
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You have a fraction "A" and want to "separate" it (write as a sum?) so that one part is B. Well, then the other part is A- B isn't it?
 
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