Question

What is the factored form of a2 – 121?

Answer 1

Answer:

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

Step-by-step explanation:

Given : $a^2-121$

We have to write the given expression in factored form.

Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression

Consider the given expression  $a^2-121$.

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

Here $a^2-121=a^2-(11)^2$.

Comparing with identity stated above , we have x= a , b = 11 , thus, we get

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

Thus, the factored form $a^2-121$ is $(a+11)(a-11)$.