Question

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

Answer 1

`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.