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I know that this expression:

-(m-2 r+b^2 (-7 m+6 r)) ((-m+r)^2+b^4 (-2 m+3 r)^2+b^2 (-3 m^2+10 m r-6 r^2))+(1+b^2)^2 m^3 Cos[t]^2

Is equal to this one:

(1-3 b^2)^3 (-m+r)^2 (-m+2 r)+(1+b^2)^2 m^3 (b^2+Cos[t]^2)

I couldn't get Mathematica to reach this simpler later form. FullSimplify and other functions combinations like FullSimplify with PowerExpand didn't work. I even used VOISImplifyVOISImplify, and no success. Any thoughts?

I know that this expression:

-(m-2 r+b^2 (-7 m+6 r)) ((-m+r)^2+b^4 (-2 m+3 r)^2+b^2 (-3 m^2+10 m r-6 r^2))+(1+b^2)^2 m^3 Cos[t]^2

Is equal to this one:

(1-3 b^2)^3 (-m+r)^2 (-m+2 r)+(1+b^2)^2 m^3 (b^2+Cos[t]^2)

I couldn't get Mathematica to reach this simpler later form. FullSimplify and other functions combinations like FullSimplify with PowerExpand didn't work. I even used VOISImplify, and no success. Any thoughts?

I know that this expression:

-(m-2 r+b^2 (-7 m+6 r)) ((-m+r)^2+b^4 (-2 m+3 r)^2+b^2 (-3 m^2+10 m r-6 r^2))+(1+b^2)^2 m^3 Cos[t]^2

Is equal to this one:

(1-3 b^2)^3 (-m+r)^2 (-m+2 r)+(1+b^2)^2 m^3 (b^2+Cos[t]^2)

I couldn't get Mathematica to reach this simpler later form. FullSimplify and other functions combinations like FullSimplify with PowerExpand didn't work. I even used VOISImplify, and no success. Any thoughts?

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Giovanni F.
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Is it possible to reach this expression using Mathematica's algebraic functions?

I know that this expression:

-(m-2 r+b^2 (-7 m+6 r)) ((-m+r)^2+b^4 (-2 m+3 r)^2+b^2 (-3 m^2+10 m r-6 r^2))+(1+b^2)^2 m^3 Cos[t]^2

Is equal to this one:

(1-3 b^2)^3 (-m+r)^2 (-m+2 r)+(1+b^2)^2 m^3 (b^2+Cos[t]^2)

I couldn't get Mathematica to reach this simpler later form. FullSimplify and other functions combinations like FullSimplify with PowerExpand didn't work. I even used VOISImplify, and no success. Any thoughts?