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Popular >

factor 27x^3-1

Solution

factor

27 x^{3} - 1

Solution

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

Solution steps

27 x^{3} - 1

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

3^{2} = 9

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

Popular Examples

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8 \cdot 7

((6y+7))/4+((8-5y))/3 =5

\frac{( 6 y + 7 )}{4} + \frac{( 8 - 5 y )}{3} = 5

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\frac{2}{3} + 6

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\frac{8}{11} - \frac{1}{4}

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\frac{1}{3} \cdot \frac{5}{2}

Frequently Asked Questions (FAQ)

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