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(x^(2)-12 x+36)/(3x-18)

x2−12x+363x−18 \frac{x^{2}-12 x+36}{3 x-18}

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Full solution

Q. x2−12x+363x−18 \frac{x^{2}-12 x+36}{3 x-18}
  1. Identify Numerator and Denominator: Identify the numerator and denominator.\newlineNumerator: x2−12x+36x^2 - 12x + 36\newlineDenominator: 3x−183x - 18
  2. Factorize Numerator and Denominator: Factorize the numerator and denominator.\newlineNumerator: (x−6)(x−6)=(x−6)2(x - 6)(x - 6) = (x - 6)^2\newlineDenominator: 3(x−6)3(x - 6)
  3. Simplify Expression: Simplify the expression by canceling out common factors.\newline(x−6)2/3(x−6)(x - 6)^2 / 3(x - 6)\newline= (x−6)(x−6)/3(x−6)(x - 6)(x - 6) / 3(x - 6)\newline= (x−6)/3(x - 6) / 3

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