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If a and B Are Square Matrices of the Same Order, Then (A + B)(A − B) is Equal to - Mathematics

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Question

If A and B are square matrices of the same order, then (A + B)(A − B) is equal to 

Options

  •  A2 − B2

  •  A2 − BA − AB − B2

  • A2 − B2 + BA − AB

  • A2  BA + B+ AB

MCQ

Solution

(A + B)(A − B) = A2  AB + BA − B2  

Hence, the correct option is (c).

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Chapter 5: Algebra of Matrices - Exercise 5.7 [Page 69]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.7 | Q 42 | Page 69

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