Question

please send me the answer to that question​

Answer 1

Answer:

1

Step-by-step explanation:

Given Expression:

$\frac1{1 + x^{a - b}} + \frac1{1 + x^{b - a}}$

To Do: Simplify

Solution:

We know from the exponent laws that

$a^{m - n} = \frac{a^m}{a^n}$

So, applying this, we will get

$\frac1{1 + \frac{x^a}{x^b}} + \frac1{1 + \frac{x^b}{x^a}}$

Take the LCM in the denominator.

We will get

$\frac1{\frac{x^b + x^a}{x^b}} + \frac1{\frac{x^a + x^b}{x^a}}$

⇒ $\frac{x^b}{x^a + x^b} + \frac{x^a}{x^a + x^b}$

Taking LCM again, we will get

⇒ $\frac{x^a + x^b}{x^a + x^b}$

Cancel the numerator and the denominator, as they are exactly alike.

We will get the final answer as

1