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5 days ago

What is the factored form of a2 – 121?

Mathematics

1 answer:

AnnZ [12.3K]5 days ago

7 0

Response:

The factored expression $a^2-121$ is $(a+11)(a-11)$ .

Detailed explanation:

Provided: $a^2-121$

Our goal is to express the given equation in a factored form.

Factoring pertains to rewriting an expression so that the product of its factors yields the original expression

Let’s consider the expression $a^2-121$ .

We recognize the algebraic identity $x^2-y^2=(x+y)(x-y)$

Thus, we have $a^2-121=a^2-(11)^2$ .

Matching with the above identity, we assign x= a, and b = 11, leading to

$a^2-(11)^2=(a+11)(a-11)$ .

Consequently, the factored expression $a^2-121$ is $(a+11)(a-11)$ .

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