If the value of a is :

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answer is B.

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Detailed Solution

Concept- In this case, we'll utilize additive law to get the power and exponent, and then simplify the equations with the square of the complete square. In addition, we will use the square and square-root ideas before simplifying for the desired result.

By using the law of power and exponent which states that when bases are the same powers are added in case we have multiplication sign in between two powers and exponents. Such as

As we know that when bases are the same on both sides of the equation then their powers are equal.

Use the identity for the whole square of two terms.

and

Simplify the above equation-

Open the brackets. Keep in mind that the phrases inside the brackets retain their signs even when there is a positive sign outside of them.

Make the pair of like terms in the above equation.

Do simplification in the above equation. When like terms have equal value, opposite signs cancel each other.

Move constantly on the right side. Keep in mind that if a phrase is transferred from one side to the other, the symbol is likewise modified. Positive term becomes negative and the negative term becomes positive.

Simplify the above equation -

When any term is in multiplication on one side which is moved to another side, then it goes to the denominator.

Common multiples in the denominator and numerator cancel one another out.

As we know that Square and square-root cancel each other, so we get:

So, the correct answer is

Hence, the correct option is 2.

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