Factor. 25h^2 - 10h + 1 ______

Check for Perfect Square Trinomial: Determine if the quadratic expression can be factored using the perfect square trinomial formula. A perfect square trinomial is in the form of (a^2 ± 2ab + b^2) which factors to (a ± b)^2. 25h^2 - 10h + 1 can be written as (5h)^2 - 2*(5h)*1 + 1^2, which resembles the perfect square trinomial formula.Apply Perfect Square Trinomial Formula: Factor the expression using the perfect square trinomial formula. Since 25h^2 is a perfect square of (5h)^2 and 1 is a perfect square of 1^2, and the middle term is twice the product of 5h and 1, we can write the expression as: (5h - 1)^2

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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25h^2 - 10h + 1

Check for Perfect Square Trinomial: Determine if the quadratic expression can be factored using the perfect square trinomial formula. $\newline$ A perfect square trinomial is in the form of $(a^2 \pm 2ab + b^2)$ which factors to $(a \pm b)^2$ . $\newline$ $25h^2 - 10h + 1$ can be written as $(5h)^2 - 2\cdot(5h)\cdot1 + 1^2$ , which resembles the perfect square trinomial formula.
Apply Perfect Square Trinomial Formula: Factor the expression using the perfect square trinomial formula. $\newline$ Since $25h^2$ is a perfect square of $(5h)^2$ and $1$ is a perfect square of $1^2$ , and the middle term is twice the product of $5h$ and $1$ , we can write the expression as: $\newline$ $(5h - 1)^2$