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Popular >

factor e^3-8

Solution

factor

e^{3} - 8

Solution

(e - 2) (e^{2} + 2 e + 4)

Solution steps

e^{3} - 8

Rewrite

8

as

2^{3}

= e^{3} - 2^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

e^{3} - 2^{3} = (e - 2) (e^{2} + 2 e + 2^{2})

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

Refine

= (e - 2) (e^{2} + 2 e + 4)

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Frequently Asked Questions (FAQ)

What is factor e^3-8 ?
The solution to factor e^3-8 is (e-2)(e^2+2e+4)