Factor. h^2 + 8h + 16 ______

Check Perfect Square Trinomial: Determine if the quadratic can be factored using the perfect square trinomial formula. A perfect square trinomial is in the form (a + b)^2 = a^2 + 2ab + b^2. We need to check if h^2 + 8h + 16 fits this pattern.Identify a and b: Identify the values of a and b that would make h^2 + 8h + 16 a perfect square trinomial. For the expression h^2 + 8h + 16, a is h and b must be a number such that b^2 = 16 and 2ab = 8h. The number that satisfies this is b = 4, since 4^2 = 16 and 2*h*4 = 8h.Write as Perfect Square Trinomial: Write the expression as a perfect square trinomial using the values of a and b identified in Step 2. The expression h^2 + 8h + 16 can be written as (h + 4)^2 because (h + 4)(h + 4) = h^2 + 4h + 4h + 16 = h^2 + 8h + 16.Factor as Binomial Square: Factor the expression as the square of a binomial. The factored form of h^2 + 8h + 16 is (h + 4)^2.

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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h^2 + 8h + 16

Check Perfect Square Trinomial: Determine if the quadratic can be factored using the perfect square trinomial formula. $\newline$ A perfect square trinomial is in the form $(a + b)^2 = a^2 + 2ab + b^2$ . We need to check if $h^2 + 8h + 16$ fits this pattern.
Identify $a$ and $b$ : Identify the values of $a$ and $b$ that would make $h^2 + 8h + 16$ a perfect square trinomial. $\newline$ For the expression $h^2 + 8h + 16$ , $a$ is $h$ and $b$ must be a number such that $b^2 = 16$ and $b$ $0$ . The number that satisfies this is $b$ $1$ , since $b$ $2$ and $b$ $3$ .
Write as Perfect Square Trinomial: Write the expression as a perfect square trinomial using the values of $a$ and $b$ identified in Step $2$ . $\newline$ The expression $h^2 + 8h + 16$ can be written as $(h + 4)^2$ because $(h + 4)(h + 4) = h^2 + 4h + 4h + 16 = h^2 + 8h + 16$ .
Factor as Binomial Square: Factor the expression as the square of a binomial. $\newline$ The factored form of $h^2 + 8h + 16$ is $(h + 4)^2$ .