code: def combine_kronecker(expr):
      """Combine KronekeckerProduct with expression.
  
      If possible write operations on KroneckerProducts of compatible shapes
      as a single KroneckerProduct.
  
      Examples
      ========
  
      >>> from sympy.matrices.expressions import combine_kronecker
      >>> from sympy import MatrixSymbol, KroneckerProduct, symbols
      >>> m, n = symbols(r'm, n', integer=True)
      >>> A = MatrixSymbol('A', m, n)
      >>> B = MatrixSymbol('B', n, m)
      >>> combine_kronecker(KroneckerProduct(A, B)*KroneckerProduct(B, A))
      KroneckerProduct(A*B, B*A)
      >>> combine_kronecker(KroneckerProduct(A, B)+KroneckerProduct(B.T, A.T))
      KroneckerProduct(A + B.T, B + A.T)
      >>> C = MatrixSymbol('C', n, n)
      >>> D = MatrixSymbol('D', m, m)
      >>> combine_kronecker(KroneckerProduct(C, D)**m)
      KroneckerProduct(C**m, D**m)
      """
  
      def haskron(expr):
          return isinstance(expr, MatrixExpr) and expr.has(
              KroneckerProduct
          )
  
      rule = exhaust(
          bottom_up(
              exhaust(
                  condition(
                      haskron,
                      typed(
                          {
                              MatAdd: kronecker_mat_add,
                              MatMul: kronecker_mat_mul,
                              MatPow: kronecker_mat_pow,
                          }
                      ),
                  )
              )
          )
      )
      result = rule(expr)
      doit = getattr(result, "doit", None)
      if doit is not None:
          return doit()
      else:
          return result
  
imports: from functools import reduce
  from math import prod
  from sympy.core import Mul, sympify
  from sympy.functions import adjoint
  from sympy.matrices.exceptions import ShapeError
  from sympy.matrices.expressions.matexpr import MatrixExpr
  from sympy.matrices.expressions.transpose import transpose
  from sympy.matrices.expressions.special import Identity
  from sympy.matrices.matrixbase import MatrixBase
  from sympy.strategies import canon, condition, distribute, do_one, exhaust, flatten, typed, unpack
  from sympy.strategies.traverse import bottom_up
  from sympy.utilities import sift
  from .matadd import MatAdd
  from .matmul import MatMul
  from .matpow import MatPow
label_desc: Use image node_id 10 for calling a global function with example usage: combine_kronecker(expr) and returns: unknown, doit, result