Factor. v^2 + 4v + 4 ______

Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. v^2 + 4v + 4 can be written as (v)^2 + 2(v)(2) + (2)^2.Use Perfect Square Formula: Use the perfect square trinomial formula (a + b)^2 = a^2 + 2ab + b^2 to factor the expression. (v + 2)^2 = v^2 + 4v + 4.Check Factored Form: Check the factored form by expanding (v + 2)(v + 2) to ensure it equals the original expression. (v + 2)(v + 2) = v^2 + 2v + 2v + 4 = v^2 + 4v + 4.

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Factor. $\newline$ $v^2 + 4v + 4$

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Math Problems

Algebra 1

Factor quadratics: special cases

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Q. Factor.

\newline

v^2 + 4v + 4

Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. $\newline$ $v^2 + 4v + 4$ can be written as $(v)^2 + 2(v)(2) + (2)^2$ .
Use Perfect Square Formula: Use the perfect square trinomial formula $(a + b)^2 = a^2 + 2ab + b^2$ to factor the expression. $(v + 2)^2 = v^2 + 4v + 4$ .
Check Factored Form: Check the factored form by expanding $(v + 2)(v + 2)$ to ensure it equals the original expression. $(v + 2)(v + 2) = v^2 + 2v + 2v + 4 = v^2 + 4v + 4.$