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Through

Through[p[f1, f2][x]]
gives p[f1[x], f2[x]].
Through[expr, h]
performs the transformation wherever h occurs in the head of expr.
  • Through distributes operators that appear inside the heads of expressions.
By default, the operation is performed for any function in the head:
Perform the operation only if the head is a sum of terms:
Apply a differential operator:
Tabulate square roots of values without using auxiliary variables:
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