Question

Multiply the rational expressions: Divide the rational expressions:

Answer 1

1).
`(2)/((x+1))`

2).
`(x^2)/(2(x+1))`

Explanation:

For multiplication of the rational expressions,

`(x)/((x+1))* (2)/(x)`

=
`(2x)/(x(x+1))`

=
`(2)/((x+1))`

For division of the rational expressions,

`(x)/((x+1))/ (2)/(x)`

=
`(x)/((x+1))* (x)/(2)`

=
`(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].