Question

to verify the algebraic identity? for first 16 identity​

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)

Answer 2

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• By the algebraic identity, x2 – y2 = (x + y) (x – y), we can write the given expression as; (x + 3) (x – 3) = x2 – 32 = x2 – 9. Problem: Solve (x + 5)3 using algebraic identities.