How do you factor a^2 - c^2?

Nov 18, 2015

color(blue)((a-c)(a+c) is the factorised form of the expression.

Explanation:

${a}^{2} - {c}^{2}$

As per property:
color(blue)(x^2-y^2=(x+y)(x-y)

Applying the same to the expression:

a^2-c^2 = color(blue)((a+c)(a-c)
(Here $a = x , c = y$)

color(blue)((a-c)(a+c) is the factorised form of the expression.