Simplify the expression completely if possible. (x^(2)-4)/(x^(2)+3x+2) Answer:

Factorize Numerator and Denominator: Factor the numerator and the denominator if possible. The numerator x^2 - 4 is a difference of squares and can be factored into (x - 2)(x + 2). The denominator x^2 + 3x + 2 can be factored by finding two numbers that multiply to 2 and add to 3, which are 1 and 2. So, the denominator factors into (x + 1)(x + 2).Write Expression with Factors: Write the expression with the factors. The factored form of the expression is: ((x - 2)(x + 2)) / ((x + 1)(x + 2))Cancel Common Factors: Cancel out the common factors. The (x + 2) term is present in both the numerator and the denominator, so they cancel each other out. The simplified expression is: (x - 2) / (x + 1)

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Simplify the expression completely if possible.

(x^(2)-4)/(x^(2)+3x+2)
Answer:

Simplify the expression completely if possible. $\newline$ $\frac{x^{2}-4}{x^{2}+3 x+2}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Simplify the expression completely if possible.

\newline

\frac{x^{2}-4}{x^{2}+3 x+2}

\newline

Answer:

Factorize Numerator and Denominator: Factor the numerator and the denominator if possible. $\newline$ The numerator $x^2 - 4$ is a difference of squares and can be factored into $(x - 2)(x + 2)$ . $\newline$ The denominator $x^2 + 3x + 2$ can be factored by finding two numbers that multiply to $2$ and add to $3$ , which are $1$ and $2$ . So, the denominator factors into $(x + 1)(x + 2)$ .
Write Expression with Factors: Write the expression with the factors. $\newline$ The factored form of the expression is: $\newline$ $\frac{(x - 2)(x + 2)}{(x + 1)(x + 2)}$
Cancel Common Factors: Cancel out the common factors. $\newline$ The $(x + 2)$ term is present in both the numerator and the denominator, so they cancel each other out. $\newline$ The simplified expression is: $\newline$ $(x - 2) / (x + 1)$