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

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

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