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what represents the factorization of the binomial shown?[tex] {x}^{2} - 121[/tex]

Sagot :

The given expression is

x^2 - 121

This is a quadratic expression. To factorize, the first step is to multiply x^2 with

- 121. It becomes - 121x^2. We would find two terms such that their sum or difference is 0 and their product is - 121x^2. The terms are 11x and - 11x. By substituting 11x - 11x into the expression, it becomes

x^2 + 11x - 11x - 121

Factorize by grouping. It becomes

x(x + 11) - 11(x + 11)

(x + 11)(x - 11)

The result of the factorization is

(x + 11)(x - 11)

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