Question

Write down different identities involved in factorisation method

Answer 1

Algebraic Expressions can be factorized by following methods

1. Regrouping of terms

2. Splitting the middle terms(For quadratic Expressions)

3. Applying the identities.

Following are few identities that are generally used to factorize
$a^2-b^2=(a+b)(a-b)$
$a^2+2ab+b^2=(a+b)(a+b)$
$a^2-2ab+b^2=(a-b)(a-b)$
$a^3+b^3=(a+b)(a^2-ab+b^2)$
$a^3-b^3=(a-b)(a^2+ab+b^2)$
$a^3+3a^{2}b+3a{b}^2+b^3=(a+b{)}^3$
$a^3-3a^{2}b+3a{b}^2-b^3=(a-b{)}^3$

When trying to factor, follow these steps:

"Factor out" any common terms