What is the value of ?

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None of these

answer is A.

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Detailed Solution

Concept- Set down the rules for polynomial multiplication first. Use these concepts to evaluate the following equation after splitting the supplied polynomial into a product of linear polynomials in three variables.
The only operations used in a polynomial are addition, subtraction, multiplication, and non-negative integer exponents of the variable coefficients. Polynomials are mathematical statements made up of coefficients and variables.
A monomial is a polynomial with a single term.
A binomial, a particular kind of polynomial, is created when two words, each of which is a monomial, are added together.
A trinomial is a polynomial that has three terms, often known as monomials.
The trinomial

is a given in the issue, where a, b, and c are the variables.
Finding the value of

is necessary.
We multiply the coefficients jointly and multiply any variables with power using the product formula for exponents to calculate the product of two trinomials.
We must multiply each term of the first polynomial by each term of the second polynomial before combining the like terms to multiply two polynomials.
Having said that,

By multiplying each term of the first polynomial by the second polynomial and applying the aforementioned rules to the given trinomial, we obtain

Using the same guidelines for polynomial multiplication once more,
Question Image

We are aware that polynomial multiplication is commutative,
Question Image

Combining them with like terms and plugging them into equation (1) yields

Hence, the correct answer is option 1.

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