How do you write #x^2-25# in factored form?

1 Answer
Sep 16, 2015

Answer:

#color(blue)((x+5)(x-5)# is the factorised form of the expression.

Explanation:

#x^2-25 = x^2 - 5^2#

As per identity:
#color(blue)(a^2-b^2=(a+b)(a-b)#

The expression #x^2 - 5^2# represents the same identity.

Here:
#color(blue)(a=x)#
#color(blue)(b=5)#

So,#x^2 - 5^2 = color(blue)((x+5)(x-5)#