Question

Add or subtract as indicated

Answer 1

Option B: $\frac{11x-9}{x^2-1}$ is the correct answer

Step-by-step explanation:

Given

$\frac{5}{x+1} + \frac{6}{x-1} -\frac{10}{x^2-1}$

Simplifying x^2-1

$x^2-1 = (x+1)(x-1)$

So,

$\frac{5}{x+1} + \frac{6}{x-1} -\frac{10}{(x+1)(x-1)}\\=\frac{5(x-1)+6(x+1)-10}{(x+1)(x-1)}\\=\frac{5x-5+6x+6-10}{(x+1)(x-1)}\\=\frac{5x+6x-5+6-10}{(x+1)(x-1)}\\=\frac{11x-9}{(x+1)(x-1)}\\=\frac{11x-9}{x^2-1}$

Hence,

Option B: $\frac{11x-9}{x^2-1}$ is the correct answer

Keywords: Fractions, polynomials

Learn more about polynomials at:

• brainly.com/question/4703807
• brainly.com/question/4703820

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