💯 Introduction to Factorising Difference of Two Squares

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Factoring the difference of two squares is a simple process:

Express the expression as the difference of two squares: x^2 - 16 = (x + √16)(x - √16).

Simplify the square roots: √16 = 4, so the expression becomes: x^2 - 16 = (x + 4)(x - 4).

And that's it! x^2 - 16 is now factored as (x + 4)(x - 4).

x^2 - 25 = x^2 - 5^2 = (x + 5)(x - 5)
x^2 - 36 = x^2 - 6^2 = (x + 6)(x - 6)
x^2 - 100 = x^2 - 10^2 = (x + 10)(x - 10)