Question

Multiply the rational expressions: Divide the rational expressions:

Answer 1

Answer:

1). $\frac{2}{(x+1)}$

2). $\frac{x^2}{2(x+1)}$

Step-by-step explanation:

For multiplication of the rational expressions,

$\frac{x}{(x+1)}\times \frac{2}{x}$

= $\frac{2x}{x(x+1)}$

= $\frac{2}{(x+1)}$

For division of the rational expressions,

$\frac{x}{(x+1)}\div \frac{2}{x}$

= $\frac{x}{(x+1)}\times \frac{x}{2}$

= $\frac{x^2}{2(x+1)}$

[When the divisor is a rational expression or a rational number, we change the sign from division to multiplication and reciprocate or flip the fraction.

This is applicable for division of the rational expressions only].