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can you explain for me the step and how they solve it Q2 (5 points) Let G be group and H, K are two subgroups

can you explain for me the step and how they solve it image text in transcribed
Q2 (5 points) Let G be group and H, K are two subgroups of G such that |HI = 90 and IKI = 525. Find all possibilities of |HK|. (Show your answer in details) HITE THULKI THOR A No, lholl1H1 and I finalliki THOKI190 I HAC/525 Port 91: 2x3x5 525 = 3x5x7 Then, THOkl: 1 or 3 5 ar 15 Y > HKIE HIKI t wis4 ( (9011525i (9.) (520) 3 (1) (525) 1900 (525) 5 15 15750 . w v = 47250 3150 or 9450

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