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Popular >

simplify e^{x^2}e^{x-x^2}

Solution

simplify

e^{x^{2}} e^{x - x^{2}}

Solution

e^{x}

Solution steps

e^{x^{2}} e^{x - x^{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x^{2}} e^{x - x^{2}} = e^{x^{2} + x - x^{2}}

= e^{x^{2} + x - x^{2}}

Simplify

x^{2} + x - x^{2} : x

= e^{x}

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Frequently Asked Questions (FAQ)

What is e^{x^2}e^{x-x^2} ?
The solution to e^{x^2}e^{x-x^2} is e^x