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How do you factor #125+t^3#?

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Anees · Kevin B.

Apr 10, 2015

#(5+t)(25+5t+t^2)#

As #color(blue)(a^3+b^3# can be written in the form
#color(blue)((a+b)(a^2+ab+b^2)# This is called the sum of cubes.

So, first of all write
#125+t^3# in the form #5^3+t^3#
Now, using the sum of cubes.

#5^3+t^3#= #(5+t)(5^2+5t+t^2)#
=#(5+t)(25+5t+t^2)#

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