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Make a perfect square x^(2)+6x+9

Make a perfect square\newlinex2+6x+9 x^{2}+6 x+9

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Full solution

Q. Make a perfect square\newlinex2+6x+9 x^{2}+6 x+9
  1. Identify Trinomial: We got x2+6xx^2 + 6x. To complete the square, we need to add (6/2)2(6/2)^2.
  2. Calculate Half of Coefficient: So, (62)2=(3)2=9(\frac{6}{2})^2 = (3)^2 = 9.
  3. Complete the Square: Now we have x2+6x+9x^2 + 6x + 9, which is a perfect square trinomial.

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