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Substitution of a denominator ex: eˣ/¹+eˣ

User JUG
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Final answer:

The expression eˣ/¹+eˣ can be simplified using substitution of a denominator. We can substitute a new variable, y, for the denominator ¹+eˣ and rewrite the expression as eˣ/y.

Step-by-step explanation:

The expression eˣ/¹+eˣ can be simplified by using substitution of a denominator. In this case, the denominator is ¹+eˣ. To simplify the expression, we can substitute a new variable, let's say y, for ¹+eˣ. This means that y = ¹+eˣ. We can then rewrite the expression as eˣ/y.

Now, we can simplify the expression further by substituting the value of y back into the expression. Since y = ¹+eˣ, we can substitute y with ¹+eˣ:

eˣ/¹+eˣ = eˣ/(¹+eˣ).

This is the simplified form of the expression using substitution of a denominator.