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Factor.\newlinev2+4v+4v^2 + 4v + 4

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Full solution

Q. Factor.\newlinev2+4v+4v^2 + 4v + 4
  1. Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial.\newlinev2+4v+4v^2 + 4v + 4 can be written as (v)2+2(v)(2)+(2)2(v)^2 + 2(v)(2) + (2)^2.
  2. Use Perfect Square Formula: Use the perfect square trinomial formula (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 to factor the expression.(v+2)2=v2+4v+4(v + 2)^2 = v^2 + 4v + 4.
  3. Check Factored Form: Check the factored form by expanding (v+2)(v+2)(v + 2)(v + 2) to ensure it equals the original expression.(v+2)(v+2)=v2+2v+2v+4=v2+4v+4.(v + 2)(v + 2) = v^2 + 2v + 2v + 4 = v^2 + 4v + 4.

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