Write all the identities (i) (a+b)2 (ii) (a-b)2 (iii) (a+b)(a-b) (iv) (x+a)(x+b)
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Answer:
Identity I: (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)
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Answer:
(a+b)²= a²+b²+2ab
(a-b)² = a²+b²-2ab
(a+b)(a-b) = a²-b²
(x+a)(x+b) = x²+ba+xa+xb
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