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Question

Evaluate: 12-68+482


A

2-3

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B

2+2

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C

2-2

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D

622

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Solution

The correct option is C

2-2


Explanation for the correct answer:

Given:

12-68+482

Simplifying the given expression:

By using the algebraic identity a+b2=a2+b2+2ab.

12-68+482=12-36+32+482=12-62+422+26×42

Here, we get a=6,b=42, then with the algebraic identity we get

12-6+422=12-6+42=12-6-42=6-42

Now we can split 6 as 4 = 2, and by using the algebraic identity a+b2=a2+b2+2ab.

4+2-42=22+22-222

Here, we get a=2,b=2, then with the algebraic identity we get

2-22=2-2

Therefore, The value of 12-68+482 is 2-2.

Hence, the correct answer is option (C).


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