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If a=2, b=-2, then find the value of $a 2 + a b + b 2$ .

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answer is C.

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Detailed Solution

Given,

a 2 + a b + b 2

.
Like terms are those terms which have the same variables and powers.
e.g.,

(A x, − A x) and (A, 2 A)

Now, substituting a=2 and b=-2, we get

a 2 + a b + b 2 = 22 + 2 × (− 2) + − 2 2 = 2 × 2 − 4 + − 2 × − 2 = 4 − 4 + 4 = 0 + 4 = 4

Hence, 4 is the required value of

a 2 + a b + b 2

.
Therefore, the correct option is 3.

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