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How do you factor completely: #x^2 – 25#?

1 Answer

Jul 13, 2015

#= color(blue)((x+5)(x-5)#

Explanation:

#color(blue)(a^2-b^2) = (a+b)(a-b)#

Applying the above property to the expression
#x^2-25# where #x=color(blue)(a) and 5=color(blue)(b#

#x^2-25 =color(blue)( x^2-5^2#
#= color(blue)((x+5)(x-5)#

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