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Popular >

factor e^{2x}-25

Solution

factor

e^{2 x} - 25

Solution

(e^{x} + 5) (e^{x} - 5)

Solution steps

e^{2 x} - 25

Apply exponent rule:

a^{b c} = (a^{b})^{c}

e^{2 x} = (e^{x})^{2}

= (e^{x})^{2} - 25

Rewrite

25

as

5^{2}

= (e^{x})^{2} - 5^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(e^{x})^{2} - 5^{2} = (e^{x} + 5) (e^{x} - 5)

= (e^{x} + 5) (e^{x} - 5)

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Frequently Asked Questions (FAQ)

What is factor e^{2x}-25 ?
The solution to factor e^{2x}-25 is (e^x+5)(e^x-5)