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Popular >

factor e^4-1

Solution

factor

e^{4} - 1

Solution

(e^{2} + 1) (e + 1) (e - 1)

Solution steps

e^{4} - 1

Rewrite

e^{4} - 1

as

(e^{2})^{2} - 1^{2}

= (e^{2})^{2} - 1^{2}

Apply Difference of Two Squares Formula:

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

(e^{2})^{2} - 1^{2} = (e^{2} + 1) (e^{2} - 1)

= (e^{2} + 1) (e^{2} - 1)

Factor

e^{2} - 1 : (e + 1) (e - 1)

= (e^{2} + 1) (e + 1) (e - 1)

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Frequently Asked Questions (FAQ)

What is factor e^4-1 ?
The solution to factor e^4-1 is (e^2+1)(e+1)(e-1)