How do you factor #a^2 - 4ab + 4b^2#?

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Answer 1 · 2016-05-14T06:54:24

# color(blue)((a -2b) ( a - 2b )# is the factorised form of the expression.

#a^2 - 4ab + 4 b ^2#

We can Split the Middle Term of this expression to factorise it.

#a^2 - color(blue)(4ab) + 4 b ^2#

#=a^2 - color(blue)(2ab - 2ab) + 4 b ^2#

#=a ( a - 2b ) -2b ( a - 2b ) #

#color(blue)((a-2b ))# is a common factor to each of the terms

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