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What is the missing constant term in the perfect square that starts with x2+18xx^2+18x?

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Full solution

Q. What is the missing constant term in the perfect square that starts with x2+18xx^2+18x?
  1. Identify values of aa and bb: Identify the values of aa and bb in the quadratic expression x2+18x+?x^2 + 18x + ?. Here, a=1a = 1 and b=18b = 18.
  2. Calculate perfect square trinomial: To complete the square, we need to find the value that makes the expression a perfect square trinomial. This value is found by taking (b2)2(\frac{b}{2})^2.\newlineCalculate (182)2(\frac{18}{2})^2.
  3. Find missing constant term: Perform the calculation: (18/2)2=(9)2=81(18/2)^2 = (9)^2 = 81. The missing constant term is 8181.

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