Factor. 4x^2 - 4x + 1 ______

Check for Perfect Square Trinomial: Determine if the quadratic can be factored as a perfect square trinomial. A perfect square trinomial is in the form (ax)^2 - 2abx + b^2, which factors to (ax - b)^2. Here, 4x^2 = (2x)^2 and 1 = 1^2. The middle term should be -2abx = -2(2x)(1) = -4x. Since the given expression is 4x^2 - 4x + 1, it matches the form of a perfect square trinomial.Factor using Pattern: Factor the expression using the perfect square trinomial pattern. The expression 4x^2 - 4x + 1 can be factored as (2x - 1)^2 because (2x)^2 - 2(2x)(1) + 1^2 = 4x^2 - 4x + 1.

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Factor. $\newline$ $4x^2 - 4x + 1$

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

\newline

4x^2 - 4x + 1

Check for Perfect Square Trinomial: Determine if the quadratic can be factored as a perfect square trinomial. A perfect square trinomial is in the form $(ax)^2 - 2abx + b^2$ , which factors to $(ax - b)^2$ . Here, $4x^2 = (2x)^2$ and $1 = 1^2$ . The middle term should be $-2abx = -2(2x)(1) = -4x$ . Since the given expression is $4x^2 - 4x + 1$ , it matches the form of a perfect square trinomial.
Factor using Pattern: Factor the expression using the perfect square trinomial pattern. $\newline$ The expression $4x^2 - 4x + 1$ can be factored as $(2x - 1)^2$ because $(2x)^2 - 2(2x)(1) + 1^2 = 4x^2 - 4x + 1$ .