Simplify in mathematica

The simplification process uses Reduce to restrict the conditions to integers, LogicalExpand to help eliminate redundancy, and Simplify to limit the number of terms. Reduce

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MATHEMATICA TUTORIAL: Simplify and Expand

Simplify can be used on equations, inequalities, and domain specifications. Quantities that appear algebraically in inequalities are always assumed to be real. FullSimplify does more

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Simplification tips in Mathematica

Mathematica: using simplify to do common sub-expression elimination and reduction in strength
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Simplification

The new expression (in terms of p) is. testEQ = A B p + A^2 B p^2 + (A+B)p^3; Then I made the substitution for p, and called (normal) FullSimplify, giving me this expression.
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