Q1 of 59 Page 263

Select a suitable identity and find the following products

(2b – a) (2b + c)

Given: (2b – a) (2b + c),it is a product of 2 binomial expressions which have the terms (2b – a) (2b + c).

Now when we compare these expressions with the identities, we


find it in the form of (x-a)(x + b),where x = 2b and a = a and b = c,


Thus,(x-a)(x + b) = x2 + bx-ax-ab = x2 + x(b-a)-ab


Hence, (2b – a) (2b + c) = (2b)2 + 2b(c-a)-ac = 4b2 + 2b(c-a)-ac


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