Identify Expression: Identify the expression to be simplified. (3x+3)/(x^2-1)Factor Numerator and Denominator: Factor both the numerator and the denominator. The numerator 3x+3 can be factored as 3(x+1). The denominator x^2-1 is a difference of squares and can be factored as (x+1)(x-1).Rewrite with Factored Terms: Rewrite the expression with the factored terms. (3(x+1))/((x+1)(x-1))Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The (x+1) terms cancel each other out, leaving us with: 3/(x-1)

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$\frac{3 x+3}{x^{2}-1}$

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Algebra 1

Add and subtract polynomials

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\frac{3 x+3}{x^{2}-1}

Identify Expression: Identify the expression to be simplified. $(3x+3)/(x^2-1)$
Factor Numerator and Denominator: Factor both the numerator and the denominator. $\newline$ The numerator $3x+3$ can be factored as $3(x+1)$ . $\newline$ The denominator $x^2-1$ is a difference of squares and can be factored as $(x+1)(x-1)$ .
Rewrite with Factored Terms: Rewrite the expression with the factored terms. $\newline$ $\frac{3(x+1)}{(x+1)(x-1)}$
Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\newline$ The $(x+1)$ terms cancel each other out, leaving us with: $\newline$ $\frac{3}{(x-1)}$