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Evaluate the given polynomial using identity $(b - 7)^{2}$ ?

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b^{2} + 49 - 14 b

b^{2} + 49 + 14 b

b^{2} - 49 + 14 b

b^{2} - 49 - 14 b

answer is A.

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Detailed Solution

Concept- In this question we should know what are these identities in polynomials. Well, they're principally made to make the question simpler and easier to break. Like we can observe in this question. The identity to be used in this question is

(a - b)^{2} = a^{2} + b^{2} - 2 ab

In this question the main concept is the identity, (a−b) 2=a2+b2−2ab(a−b) 2=a2+b2−2ab.
So applying the identity, we get
⇒

(b - 7)^{2} = b^{2} + (7)^{2} - 2 . (b) . (7)

⇒

(b - 7)^{2} = b^{2} + 49 - 14 b

∴ The expansion of this identity is

b^{2} + 49 - 14 b

Hence, the correct option is 1)

b^{2} + 49 - 14 b

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