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Popular >

factor 27y^3-1

Solution

factor

27 y^{3} - 1

Solution

(3 y - 1) (9 y^{2} + 3 y + 1)

Solution steps

27 y^{3} - 1

Apply exponent rules

= (3 y)^{3} - 1^{3}

Apply Difference of Cubes Formula:

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

(3 y)^{3} - 1^{3} = (3 y - 1) (3^{2} y^{2} + 3 y + 1)

= (3 y - 1) (3^{2} y^{2} + 3 y + 1)

3^{2} = 9

= (3 y - 1) (9 y^{2} + 3 y + 1)

Popular Examples

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x^{5} + x^{4} + x^{3} + x^{2} + x + 1

192 x - 12 x^{2} = 0

Frequently Asked Questions (FAQ)

What is factor 27y^3-1 ?
The solution to factor 27y^3-1 is (3y-1)(9y^2+3y+1)