Expanding the left side yields 3a square + 3b square + 3c square – 2ab – 2bc – 2ca, which does not match the right side. Therefore, the given mathematical equation is false.
Is this an identity? (a + b – c) square + (a – b + c) square + (a – b – c) square = 2a square + 2b square + 2c square
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To check if this equation is an identity, we must expand all three squared brackets on the left side using the three-term formula. Summing the expanded terms together results in a total of 3a square + 3b square + 3c square minus 2ab minus 2bc minus 2ca. Since this long combined expression is completely different from the given right-hand side of 2a square + 2b square + 2c square, the equation is not an identity.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/