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Eliminate seems to work well. Stealing @Wolfgang's expressions: eqs = DeltaQ == ((p1 Cp)/R) (V2 - V1) + ((V2 CV)/R) (p2 - p1) given = {p1 V1^(gamma) == p2 V2^(gamma), gamma == Cp/CV} If you want to eliminate p2 Eliminate[{eqs}~Join~ given, {p2}] // Solve[#, DeltaQ] & // FullSimplify {{DeltaQ$\to \frac{\text{p1} \left(\text{Cp} ...


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You can get the desired output using PowerExpand[(a ((G m \[Omega])/c^3)^(1/2) + b ((G m \[Omega])/c^3)^(1/2)), c] // Together $\frac{a \sqrt{G m \omega }+b \sqrt{G m \omega }}{c^{3/2}}$ as PowerExpand[(a ((G m \[Omega])/c^3)^(1/2) + b ((G m \[Omega])/c^3)^(1/2)), c] $\frac{a \sqrt{G m \omega }}{c^{3/2}}+\frac{b \sqrt{G m \omega }}{c^{3/2}}$ gets c ...


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Try this: expr = (a ((G m \[Omega])/c^3)^(1/2) + b ((G m \[Omega])/c^3)^(1/2)); Simplify[expr, {G > 0, c > 0, m > 0, \[Omega] > 0}] (* (a + b) Sqrt[(G m \[Omega])/c^3] *) Have fun!


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Without simplifying anything else is a bit hard, but you can substitute every number for a symbol, solve for x and then undo the substitution: expr = HoldComplete[(((60000/26 + 4410)*2 + 60000/26)/42)*30.3333 == (((4410/2 + ((142.8 - 80)*((142.8 x + 4410/2)/142.8)*1.5) +80 x))*2 + (14*6 x))/42*30.3333] First, we find all the unique numbers and create a ...



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