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Popular >

factor 216x^3-1

Solution

factor

216 x^{3} - 1

Solution

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

Solution steps

216 x^{3} - 1

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

6^{2} = 36

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

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Frequently Asked Questions (FAQ)

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