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edited Mar 24, 2014 at 8:55

I have an expression obtain from an integral, which is:

Integrate[\[Epsilon]^2Integrate[ϵ^2/Sqrt[(\[Epsilon]ϵ - u)^2 +
         \[CapitalDelta]^2]Δ^2], \[Epsilon]]ϵ] // FullSimplify

The denominator and numerator of the result have an obvious common factor:

Sqrt[\[CapitalDelta]^2Sqrt[Δ^2 + (u - \[Epsilon]ϵ)^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

I have an expression obtain from an integral, which is:

Integrate[\[Epsilon]^2/Sqrt[(\[Epsilon] - u)^2 +
         \[CapitalDelta]^2], \[Epsilon]] // FullSimplify

The denominator and numerator of the result have an obvious common factor:

Sqrt[\[CapitalDelta]^2 + (u - \[Epsilon])^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

I have an expression obtain from an integral, which is:

Integrate[ϵ^2/Sqrt[(ϵ - u)^2 + Δ^2], ϵ] // FullSimplify

The denominator and numerator of the result have an obvious common factor:

Sqrt[Δ^2 + (u - ϵ)^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

added 35 characters in body

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edited Mar 24, 2014 at 8:48

I have an expression obtain from an integral, which is:

Integrate[\[Epsilon]^2/Sqrt[(\[Epsilon] - u)^2 +
         \[CapitalDelta]^2], \[Epsilon]] // FullSimplify

The denominator and numerator of the result have an obvious common factor:

Sqrt[\[CapitalDelta]^2 + (u - \[Epsilon])^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

I have an expression obtain from an integral, which is:

Integrate[\[Epsilon]^2/Sqrt[(\[Epsilon] - u)^2 +
         \[CapitalDelta]^2], \[Epsilon]] // FullSimplify

The result have an obvious common factor

Sqrt[\[CapitalDelta]^2 + (u - \[Epsilon])^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

I have an expression obtain from an integral, which is:

Integrate[\[Epsilon]^2/Sqrt[(\[Epsilon] - u)^2 +
         \[CapitalDelta]^2], \[Epsilon]] // FullSimplify

The denominator and numerator of the result have an obvious common factor:

Sqrt[\[CapitalDelta]^2 + (u - \[Epsilon])^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

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asked Mar 24, 2014 at 8:41

Mathematica won't simplify the expression with obvious common factor of a fraction

I have an expression obtain from an integral, which is:

Integrate[\[Epsilon]^2/Sqrt[(\[Epsilon] - u)^2 +
         \[CapitalDelta]^2], \[Epsilon]] // FullSimplify

The result have an obvious common factor

Sqrt[\[CapitalDelta]^2 + (u - \[Epsilon])^2]

How can I let mathematica to cancel this common factor? I have tried Cancel and Refine all the variables to be positive.

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