Question

write all the identities of algebraic expressions with their 5-5 examples each.​

Answer 1

Answer:

Identity I: (a + b)2 = a2 + 2ab + b2

Identity II: (a – b)2 = a2 – 2ab + b2

Identity III: a2 – b2= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab

Identity V: (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

Identity VI: (a + b)3 = a3 + b3 + 3ab (a + b)

Identity VII: (a – b)3 = a3 – b3 – 3ab (a – b)

Identity VIII: a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)

Step-by-step explanation:

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Answer 2

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• Identity I: (a + b)² = a² + 2ab + b²
• Identity II: (a – b)² = a² – 2ab + b²
• Identity III: a² – b² = (a + b)(a – b)
• Identity IV: (x + a)(x + b) = x² + (a + b) x +ab
• Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
• Identity VI: (a + b)3 = a³ + b³ + 3ab (a + b)
• Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)
• Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)