Exercise 6.4 1. Expand the following using suitable identities. a) (x +13)(x + 20) b) (x +30)(x + 30) c) (r-7)(x-7) d) (x + 1)(x-1) 3. Find the value of the following by using identities. a) (210) b) (190)2 c) (44) d) 173 x 227 e) 144 x 256 e) (2 + 14 ( 2m + 13 1) (3a - 1.5) (3a + 1.5) 2. Simplify the following using identities. a) (109)2 + (91)- b) (200)2 – (100) c) (1025) - (975) d) (10)2 + (20)2 4. Verify the following for a = 3 and b = 4. a) (a + b)2 = a2 + 2ab + b2 b) (a - b)2 = a2 - 2ab + b2 c)(a + b)(a - b) = a2 - 62
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