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Simplify the expression completely if possible.

(x^(2)+13 x+40)/(x^(2)+9x+8)
Answer:

Simplify the expression completely if possible.\newlinex2+13x+40x2+9x+8 \frac{x^{2}+13 x+40}{x^{2}+9 x+8} \newlineAnswer:

Full solution

Q. Simplify the expression completely if possible.\newlinex2+13x+40x2+9x+8 \frac{x^{2}+13 x+40}{x^{2}+9 x+8} \newlineAnswer:
  1. Factor Numerator and Denominator: Factor the numerator and the denominator if possible.\newlineThe numerator x2+13x+40x^2 + 13x + 40 can be factored into (x+5)(x+8)(x + 5)(x + 8).\newlineThe denominator x2+9x+8x^2 + 9x + 8 can be factored into (x+1)(x+8)(x + 1)(x + 8).
  2. Cancel Common Factors: Cancel out the common factors from the numerator and the denominator.\newlineThe common factor (x+8)(x + 8) can be canceled out from both the numerator and the denominator.\newlineSo, the simplified expression becomes x+5x+1\frac{x + 5}{x + 1}.

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