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(a) 1.Re2 Qxe2 2.Qd8+ Rxd8 3.Rxd8#
(b) 1.Re2 Qf3 2.Qd8+ ( or 2.Rxg2 ) Qf8 ( 2. …Rxd8?? 3.Rxd8+ Qf8 4.Rxf8# ) 3.Qxf8+ Rxf8 4.Rxg2 and White will surely win.
P. S. After 1.Re2, even if Black plays 1. …e3, White gains a decisive advantage. ( 1.Re2 e3 2.Qd8+ Qf8 3.Qxf8+ Rxf8 4.Rxg2 )
1. Re2 (1. …..Qxe2 2. Qd8+ Rxd8 3. Rxd8#) Rf8 2. Rxf2 R2xf2 (2. ….. R8xf2 3. Qd8+ Rf8 4. Qxf8#) 3. Qxf2 Rxf2 4. Rd8+ Rf8 5. Rxf8#
Well done!
Very good!