what are identitie useful explain with examples
Answers
Identities helps us to solve a problem easily in mathematics. It savesbthe time and make it easier for us to do the some. It is also helpful in engineering. For example when a engineer wants to build a building or a house he/she uses those identities to measure the magnitude of the units used there
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Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation.
Examples:
Identity-I: (a + b)2 = a2 + 2ab + b2
Identity-II: (a – b)2 = a2 – 2ab + b2
Identity-III: (a + b)3 = a3 + 3a2b + 3ab2 + b3
Identity-IV: (a – b)3 = a3 – 3a2b + 3ab2 – b3
Identity-V: (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
Identity-VI: (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4