Simplify the following expression completely. (x^(2)+4x+4)/(x^(2)+6x+8) Answer:

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Simplify the following expression completely.  (x^(2)+4x+4)/(x^(2)+6x+8) Answer:

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Identify Structure: Identify the structure of the numerator and the denominator to see if they can be factored. The numerator x^2 + 4x + 4 and the denominator x^2 + 6x + 8 are both quadratic expressions that may be perfect squares or factorable by grouping.Factor Numerator: Factor the numerator x^2 + 4x + 4. This is a perfect square trinomial, which factors into (x + 2)(x + 2) or (x + 2)^2.Factor Denominator: Factor the denominator x^2 + 6x + 8. This is not a perfect square trinomial, but it can be factored by grouping. The factors of 8 that add up to 6 are 2 and 4, so the denominator factors into (x + 2)(x + 4).Simplify Expression: Now that we have factored both the numerator and the denominator, we can simplify the expression by canceling out the common factors. The common factor between the numerator and the denominator is (x + 2).Cancel Common Factor: Cancel the common factor (x + 2) from the numerator and the denominator. The simplified expression is (x + 2)/(x + 4).

Simplify the following expression completely. $\newline$ $\frac{x^{2}+4 x+4}{x^{2}+6 x+8}$ $\newline$ Answer:

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Simplify the following expression completely.\newlinex2+4x+4x2+6x+8 \frac{x^{2}+4 x+4}{x^{2}+6 x+8} x2+6x+8x2+4x+4​\newlineAnswer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}+4 x+4}{x^{2}+6 x+8}$ $\newline$ Answer: