"How to factor x 2 − y 2..." was answered by our experts

Ian Lindsey

Answered question

2023-03-25

How to factor

x^{2} - y^{2}

inpuctists8f5

Beginner2023-03-26Added 5 answers

Factorize using the algebraic identities
According to the identity of difference of two squares,

a^{2} - b^{2} = (a - b) (a + b)

The given expression is

x^{2} - y^{2}

.
It can be factorized as follows,

x^{2} - y^{2} = (x)^{2} - (y)^{2} \Rightarrow x^{2} - y^{2} = (x - y) (x + y)

Therefore, the factors of

x^{2} - y^{2}

obtained by using algebraic identity is

(x - y) (x + y)

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