Question

Write all the algebraic identities.​

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)

hope it helps ❤️

Answer 2

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 = a^3 + b^3 + 3ab (a + b)

Identity VII: (a - b)^3 = a^3 + b^3 + 3ab( a+b)