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Factorize the expression $a^2-b^2+a-b$.
The given expression is $a^2-b^2+a-b$.
We have to factorize the expression $a^2-b^2+a-b$.
Factorizing algebraic expressions:
Factorizing an algebraic expression means writing the expression as a product of two or more factors. Factorization is the reverse of distribution.
An algebraic expression is factored completely when it is written as a product of prime factors.
Here, we can observe that the given expression is a difference of two squares. So, by using the formula $a^2-b^2=(a+b)(a-b)$, we can factorize the given expression.
$a^2-b^2+a-b=(a-b)[(a+b)+1]$ (Taking $(a-b)$ common)
Hence, the given expression can be factorized as $(a-b)(a+b+1)$.
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