Square Based Identities in Factorization
4. Difference of Two Squares
![\[a^2 - b^2 = (a + b)(a - b)\]](https://expresswala.in/wp-content/ql-cache/quicklatex.com-85a92706da79f27e9f192fb14fbd3108_l3.png "Rendered by QuickLaTeX.com")
Ex 1:
Ex 2:
Ex 3 (Mixed):
5. Perfect Square Trinomials
These are the results of squaring a binomial sum or difference.
Sum Identity:
Ex:
Ex:
Difference Identity:
Ex: 
6.Perfect Square Trinomial (Difference): The result of squaring a binomial difference.
Ex 1:
Factorize 
Sol:
Ex 2:
Factorize 
Sol:
![(a - b)^2 - c^2 = [(a - b) + c][(a - b) - c] = \mathbf{(a - b + c)(a - b - c)}](https://expresswala.in/wp-content/ql-cache/quicklatex.com-df89884216c15b15547688b655b944e3_l3.png "Rendered by QuickLaTeX.com")
7. Trinomials with Constant Factors (Middle Term Splitting)
![\[x^2 + (a + b)x + ab = (x + a)(x + b)\]](https://expresswala.in/wp-content/ql-cache/quicklatex.com-f12179d730bed98bc5ed2cd79af2ab4b_l3.png "Rendered by QuickLaTeX.com")
Ex 1:
Ex 2:
Ex 3 (
):
Ex 4 (Advanced):
Ex 5 (Substitution):
8. Square of a Trinomial Standard Identity
Factoring expressions with three variables (
).
Standard Identity:
Ex 1: 
Ex 2: 
9. Square of a Trinomial Variable Signs Identity
-
Usage: Used when the signs of the product terms involving one specific variable are negative.
Ex: Factorize 
Sol:
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