diff --git a/bg_operators.cpp b/bg_operators.cpp
index a0e037ff0..d7990f3ee 100644
--- a/bg_operators.cpp
+++ b/bg_operators.cpp
@@ -18,11 +18,6 @@ bg::model::multi_polygon<polygon_type_t> operator-(
 
 template multi_polygon_type_fp operator-(const multi_polygon_type_fp&, const multi_polygon_type_fp&);
 
-template <> multi_polygon_type_fp operator-(const multi_polygon_type_fp& lhs, const ring_type_fp& rhs) {
-  multi_polygon_type_fp rhs_mp{polygon_type_fp{rhs}};
-  return lhs - rhs_mp;
-}
-
 template <typename rhs_t>
 multi_polygon_type_fp operator-(const box_type_fp& lhs, const rhs_t& rhs) {
   auto box_mp = multi_polygon_type_fp();
@@ -118,10 +113,10 @@ multi_polygon_type_fp operator&(const bg::model::polygon<point_type_t>& lhs,
 
 template multi_polygon_type_fp operator&(polygon_type_fp const&, multi_polygon_type_fp const&);
 
-template <typename polygon_type_t, typename rhs_t>
+template <typename polygon_type_t>
 bg::model::multi_polygon<polygon_type_t> operator^(
     const bg::model::multi_polygon<polygon_type_t>& lhs,
-    const rhs_t& rhs) {
+    const bg::model::multi_polygon<polygon_type_t>& rhs) {
   if (bg::area(rhs) <= 0) {
     return lhs;
   }
@@ -137,7 +132,7 @@ template multi_polygon_type_fp operator^(const multi_polygon_type_fp&, const mul
 
 template <typename polygon_type_t, typename rhs_t>
 bg::model::multi_polygon<polygon_type_t> operator+(const bg::model::multi_polygon<polygon_type_t>& lhs,
-                                                                 const rhs_t& rhs) {
+                                                   const rhs_t& rhs) {
   if (bg::area(rhs) <= 0) {
     return lhs;
   }
diff --git a/bg_operators.hpp b/bg_operators.hpp
index 2ca469d1f..7ef323764 100644
--- a/bg_operators.hpp
+++ b/bg_operators.hpp
@@ -30,10 +30,10 @@ template <typename rhs_t>
 multi_linestring_type_fp operator&(const linestring_type_fp& lhs,
                                    const rhs_t& rhs);
 
-template <typename polygon_type_t, typename rhs_t>
+template <typename polygon_type_t>
 bg::model::multi_polygon<polygon_type_t> operator^(
     const bg::model::multi_polygon<polygon_type_t>& lhs,
-    const rhs_t& rhs);
+    const bg::model::multi_polygon<polygon_type_t>& rhs);
 
 template <typename polygon_type_t, typename rhs_t>
 bg::model::multi_polygon<polygon_type_t> operator&(const bg::model::multi_polygon<polygon_type_t>& lhs,