Q. 1 H4.9( 14 Votes )
Select a suitable identity and find the following products
(2b – a) (2b + c)
Answer :
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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