How do you factor the expression $4x^2 + 4x + 1$ ?

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Answer 1 · 2017-03-09T09:44:38

$4x^2+4x+1=(2x+1)^2$ or $(2x+1)(2x+1)$

This polynomial is a perfect square of the type $a^2+2ab+b^2$ ,

as $4x^2+4x+1$ can be written as

$(2x)^2+2xx2x xx 1+1^2$

with $a=2x$ and $b=1$

As $a^2+2ab+b^2=(a+b)^2$ or $(a+b)(a+b)$

$4x^2+4x+1=(2x+1)^2$ or $(2x+1)(2x+1)$

How do you factor the expression 4x^2 + 4x + 14x^2 + 4x + 1?