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Popular >

factor 216e^3-1

Solution

factor

216 e^{3} - 1

Solution

(6 e - 1) (36 e^{2} + 6 e + 1)

Solution steps

216 e^{3} - 1

Rewrite

216 e^{3} - 1

as

(6 e)^{3} - 1^{3}

= (6 e)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(6 e)^{3} - 1^{3} = (6 e - 1) (6^{2} e^{2} + 6 e + 1)

= (6 e - 1) (6^{2} e^{2} + 6 e + 1)

Refine

= (6 e - 1) (36 e^{2} + 6 e + 1)

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Frequently Asked Questions (FAQ)

What is factor 216e^3-1 ?
The solution to factor 216e^3-1 is (6e-1)(36e^2+6e+1)